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Finding the Third Proportional to 84,138,885.38 and 125,744,592.75

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Solution

The third proportional to 84,138,885.38 and 125,744,592.75 is: 187,923,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138,885.38 : 125,744,592.75 = 125,744,592.75 : x
  2. Step 2: Convert to fraction form
    84,138,885.38/125,744,592.75 = 125,744,592.75/x
  3. Step 3: Cross multiply
    84,138,885.38x = 125,744,592.75 × 125,744,592.75
  4. Step 4: Simplify right side
    84,138,885.38x = 15,811,702,605,863,352
  5. Step 5: Solve for x
    x = 15,811,702,605,863,352/84,138,885.38
  6. Step 6: Final answer
    x = 187,923,842.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.