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Finding the Third Proportional to 60,665,197.50 and 129,833,451

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Solution

The third proportional to 60,665,197.50 and 129,833,451 is: 277,864,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,665,197.50 : 129,833,451 = 129,833,451 : x
  2. Step 2: Convert to fraction form
    60,665,197.50/129,833,451 = 129,833,451/x
  3. Step 3: Cross multiply
    60,665,197.50x = 129,833,451 × 129,833,451
  4. Step 4: Simplify right side
    60,665,197.50x = 16,856,724,998,569,400
  5. Step 5: Solve for x
    x = 16,856,724,998,569,400/60,665,197.50
  6. Step 6: Final answer
    x = 277,864,833.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.