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There can be no such number because numbers are infinitely dense.

Consider 100.1

the average of 100 and 100.1 = 100.05. It is closer to 100 and bigger than 100.

The average of 100 and 100.05 = 100.025. It is even closer to 100 and bigger than 100.

The average of 100 and 100.25 = 100.0125. It is even closer to 100 and bigger than 100.

and this process can go on and on and on.

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Q: What number is closest to and bigger than 100?
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