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Finding the Third Proportional to 71,969,600 and 156,717,760

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Solution

The third proportional to 71,969,600 and 156,717,760 is: 341,261,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969,600 : 156,717,760 = 156,717,760 : x
  2. Step 2: Convert to fraction form
    71,969,600/156,717,760 = 156,717,760/x
  3. Step 3: Cross multiply
    71,969,600x = 156,717,760 × 156,717,760
  4. Step 4: Simplify right side
    71,969,600x = 24,560,456,299,417,600
  5. Step 5: Solve for x
    x = 24,560,456,299,417,600/71,969,600
  6. Step 6: Final answer
    x = 341,261,536.81

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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.