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Finding the Third Proportional to 83,916,001 and 129,600,721.50

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Solution

The third proportional to 83,916,001 and 129,600,721.50 is: 200,156,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916,001 : 129,600,721.50 = 129,600,721.50 : x
  2. Step 2: Convert to fraction form
    83,916,001/129,600,721.50 = 129,600,721.50/x
  3. Step 3: Cross multiply
    83,916,001x = 129,600,721.50 × 129,600,721.50
  4. Step 4: Simplify right side
    83,916,001x = 16,796,347,013,320,562
  5. Step 5: Solve for x
    x = 16,796,347,013,320,562/83,916,001
  6. Step 6: Final answer
    x = 200,156,666.35

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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.