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Finding the Third Proportional to 78,231,624 and 169,926,192

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Solution

The third proportional to 78,231,624 and 169,926,192 is: 369,095,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,231,624 : 169,926,192 = 169,926,192 : x
  2. Step 2: Convert to fraction form
    78,231,624/169,926,192 = 169,926,192/x
  3. Step 3: Cross multiply
    78,231,624x = 169,926,192 × 169,926,192
  4. Step 4: Simplify right side
    78,231,624x = 28,874,910,727,620,864
  5. Step 5: Solve for x
    x = 28,874,910,727,620,864/78,231,624
  6. Step 6: Final answer
    x = 369,095,121.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.