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Finding the Third Proportional to 70,180,842 and 156,498,534

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Solution

The third proportional to 70,180,842 and 156,498,534 is: 348,981,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,180,842 : 156,498,534 = 156,498,534 : x
  2. Step 2: Convert to fraction form
    70,180,842/156,498,534 = 156,498,534/x
  3. Step 3: Cross multiply
    70,180,842x = 156,498,534 × 156,498,534
  4. Step 4: Simplify right side
    70,180,842x = 24,491,791,144,149,156
  5. Step 5: Solve for x
    x = 24,491,791,144,149,156/70,180,842
  6. Step 6: Final answer
    x = 348,981,152.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.