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Finding the Third Proportional to 71,306,078.25 and 156,282,000

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Solution

The third proportional to 71,306,078.25 and 156,282,000 is: 342,524,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,306,078.25 : 156,282,000 = 156,282,000 : x
  2. Step 2: Convert to fraction form
    71,306,078.25/156,282,000 = 156,282,000/x
  3. Step 3: Cross multiply
    71,306,078.25x = 156,282,000 × 156,282,000
  4. Step 4: Simplify right side
    71,306,078.25x = 24,424,063,524,000,000
  5. Step 5: Solve for x
    x = 24,424,063,524,000,000/71,306,078.25
  6. Step 6: Final answer
    x = 342,524,285.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.