
When you ask "What number is halfway between 66 and 421?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=66 and Y=421.

To find the number halfway between 66 and 421, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 66 and 421 into our formula, we get:
(66 + 421)/2 = 243.5
Thus, the number halfway between 66 and 421 is 243.5.
To check that our answer is correct, we subtract 66 from 243.5 and subtract 243.5 from 421 and compare the two numbers:
243.5 - 66 = 177.5
421 - 243.5 = 177.5
As you can see, the halfway number is 177.5 higher than 66 and 177.5 lower than 421. Therefore, our halfway between answer of 243.5 above is correct.
Halfway Between
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Halfway Between 66 and 422
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