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Finding the Third Proportional to 156,332,856 and 208,420,080

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Solution

The third proportional to 156,332,856 and 208,420,080 is: 277,861,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,332,856 : 208,420,080 = 208,420,080 : x
  2. Step 2: Convert to fraction form
    156,332,856/208,420,080 = 208,420,080/x
  3. Step 3: Cross multiply
    156,332,856x = 208,420,080 × 208,420,080
  4. Step 4: Simplify right side
    156,332,856x = 43,438,929,747,206,400
  5. Step 5: Solve for x
    x = 43,438,929,747,206,400/156,332,856
  6. Step 6: Final answer
    x = 277,861,806.27

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.