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Finding the Third Proportional to 71,969,534 and 156,717,616

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Solution

The third proportional to 71,969,534 and 156,717,616 is: 341,261,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969,534 : 156,717,616 = 156,717,616 : x
  2. Step 2: Convert to fraction form
    71,969,534/156,717,616 = 156,717,616/x
  3. Step 3: Cross multiply
    71,969,534x = 156,717,616 × 156,717,616
  4. Step 4: Simplify right side
    71,969,534x = 24,560,411,164,723,456
  5. Step 5: Solve for x
    x = 24,560,411,164,723,456/71,969,534
  6. Step 6: Final answer
    x = 341,261,222.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.