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I wouldn't make that assumption. Generally speaking it is easier to make a larger motor more efficient than a smaller motor. But if you operate the motor outside of its efficiency band then this might not be true. A larger motor is going to be heavier and this will make acceleration and deceleration slightly less efficient.

You will probably need a different final drive ratio to get the most out of these motors. Just replacing the one motor with the other probably won't be optimal.
 

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So, if under the same throttle %, is it safe to say that the miles achieved by a 100hp moto would be the same as a 200 hp, if the 100 hp is not working out of it's normal working range?

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It is about efficiency, not % of throttle. Mechanical power out / electrical power in. If the two motors are approximately the same efficiency at the comparison power level then the range would be close, probably even difficult see the difference. There are however other considerations and the added weight of the heavier motor will slightly lower the overall efficiency. The heavier motor could want lower voltage and higher current in order to obtain the same power level. This could require heavier cables. There will almost certainly be a change in drive ratio. You can think of the differential as consuming ~5% of the motor power and a transmission about 10%. If your new motor allowed you to get rid of the transmission that would be a pretty big win on overall drive train efficiency including the space reclaimed by the transmission and the weight of said component.
 
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