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Finding the Third Proportional to 84,830,737 and 129,713,384

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Solution

The third proportional to 84,830,737 and 129,713,384 is: 198,342,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,830,737 : 129,713,384 = 129,713,384 : x
  2. Step 2: Convert to fraction form
    84,830,737/129,713,384 = 129,713,384/x
  3. Step 3: Cross multiply
    84,830,737x = 129,713,384 × 129,713,384
  4. Step 4: Simplify right side
    84,830,737x = 16,825,561,988,731,456
  5. Step 5: Solve for x
    x = 16,825,561,988,731,456/84,830,737
  6. Step 6: Final answer
    x = 198,342,753.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.