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Finding the Third Proportional to 204,657,912 and 314,891,496

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Solution

The third proportional to 204,657,912 and 314,891,496 is: 484,499,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,657,912 : 314,891,496 = 314,891,496 : x
  2. Step 2: Convert to fraction form
    204,657,912/314,891,496 = 314,891,496/x
  3. Step 3: Cross multiply
    204,657,912x = 314,891,496 × 314,891,496
  4. Step 4: Simplify right side
    204,657,912x = 99,156,654,253,118,016
  5. Step 5: Solve for x
    x = 99,156,654,253,118,016/204,657,912
  6. Step 6: Final answer
    x = 484,499,491.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.