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Finding the Third Proportional to 71,659,825 and 156,732,241

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Solution

The third proportional to 71,659,825 and 156,732,241 is: 342,800,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659,825 : 156,732,241 = 156,732,241 : x
  2. Step 2: Convert to fraction form
    71,659,825/156,732,241 = 156,732,241/x
  3. Step 3: Cross multiply
    71,659,825x = 156,732,241 × 156,732,241
  4. Step 4: Simplify right side
    71,659,825x = 24,564,995,368,882,080
  5. Step 5: Solve for x
    x = 24,564,995,368,882,080/71,659,825
  6. Step 6: Final answer
    x = 342,800,102.69

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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.