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Finding the Third Proportional to 71,560,023 and 157,178,217

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Solution

The third proportional to 71,560,023 and 157,178,217 is: 345,234,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,560,023 : 157,178,217 = 157,178,217 : x
  2. Step 2: Convert to fraction form
    71,560,023/157,178,217 = 157,178,217/x
  3. Step 3: Cross multiply
    71,560,023x = 157,178,217 × 157,178,217
  4. Step 4: Simplify right side
    71,560,023x = 24,704,991,899,299,088
  5. Step 5: Solve for x
    x = 24,704,991,899,299,088/71,560,023
  6. Step 6: Final answer
    x = 345,234,543.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.