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Finding the Third Proportional to 204,930,976 and 314,796,422

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Solution

The third proportional to 204,930,976 and 314,796,422 is: 483,561,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930,976 : 314,796,422 = 314,796,422 : x
  2. Step 2: Convert to fraction form
    204,930,976/314,796,422 = 314,796,422/x
  3. Step 3: Cross multiply
    204,930,976x = 314,796,422 × 314,796,422
  4. Step 4: Simplify right side
    204,930,976x = 99,096,787,304,002,080
  5. Step 5: Solve for x
    x = 99,096,787,304,002,080/204,930,976
  6. Step 6: Final answer
    x = 483,561,778.89

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Why These Related Problems?

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