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Finding the Third Proportional to 87,826.78 and 188,974.13

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Solution

The third proportional to 87,826.78 and 188,974.13 is: 406,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,826.78 : 188,974.13 = 188,974.13 : x
  2. Step 2: Convert to fraction form
    87,826.78/188,974.13 = 188,974.13/x
  3. Step 3: Cross multiply
    87,826.78x = 188,974.13 × 188,974.13
  4. Step 4: Simplify right side
    87,826.78x = 35,711,219,919.52
  5. Step 5: Solve for x
    x = 35,711,219,919.52/87,826.78
  6. Step 6: Final answer
    x = 406,609.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.