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Finding the Third Proportional to 84,136,542.75 and 129,244,042.13

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Solution

The third proportional to 84,136,542.75 and 129,244,042.13 is: 198,534,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,136,542.75 : 129,244,042.13 = 129,244,042.13 : x
  2. Step 2: Convert to fraction form
    84,136,542.75/129,244,042.13 = 129,244,042.13/x
  3. Step 3: Cross multiply
    84,136,542.75x = 129,244,042.13 × 129,244,042.13
  4. Step 4: Simplify right side
    84,136,542.75x = 16,704,022,424,808,774
  5. Step 5: Solve for x
    x = 16,704,022,424,808,774/84,136,542.75
  6. Step 6: Final answer
    x = 198,534,689.91

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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.