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Finding the Third Proportional to 145,465,524 and 217,984,959

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Solution

The third proportional to 145,465,524 and 217,984,959 is: 326,657,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,465,524 : 217,984,959 = 217,984,959 : x
  2. Step 2: Convert to fraction form
    145,465,524/217,984,959 = 217,984,959/x
  3. Step 3: Cross multiply
    145,465,524x = 217,984,959 × 217,984,959
  4. Step 4: Simplify right side
    145,465,524x = 47,517,442,350,231,680
  5. Step 5: Solve for x
    x = 47,517,442,350,231,680/145,465,524
  6. Step 6: Final answer
    x = 326,657,760.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.