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Finding the Third Proportional to 70,180,846 and 156,498,542

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Solution

The third proportional to 70,180,846 and 156,498,542 is: 348,981,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,180,846 : 156,498,542 = 156,498,542 : x
  2. Step 2: Convert to fraction form
    70,180,846/156,498,542 = 156,498,542/x
  3. Step 3: Cross multiply
    70,180,846x = 156,498,542 × 156,498,542
  4. Step 4: Simplify right side
    70,180,846x = 24,491,793,648,125,764
  5. Step 5: Solve for x
    x = 24,491,793,648,125,764/70,180,846
  6. Step 6: Final answer
    x = 348,981,168.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.