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Finding the Third Proportional to 84,243,900 and 129,431,472

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Solution

The third proportional to 84,243,900 and 129,431,472 is: 198,857,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,243,900 : 129,431,472 = 129,431,472 : x
  2. Step 2: Convert to fraction form
    84,243,900/129,431,472 = 129,431,472/x
  3. Step 3: Cross multiply
    84,243,900x = 129,431,472 × 129,431,472
  4. Step 4: Simplify right side
    84,243,900x = 16,752,505,944,086,784
  5. Step 5: Solve for x
    x = 16,752,505,944,086,784/84,243,900
  6. Step 6: Final answer
    x = 198,857,198.49

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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.