The geometric mean of 338 and 8 is: 52.0
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If, by geometric number (?) you mean geometric mean, then the answer is 40.
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The geometric mean of 12 and 16 is 13.8564064606
The geometric mean of 10 and 20 is 14.1421356237
The geometric mean of 22 and 55 is 34.7850542619