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Finding the Third Proportional to 40,882.22 and 87,677.44

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Solution

The third proportional to 40,882.22 and 87,677.44 is: 188,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,882.22 : 87,677.44 = 87,677.44 : x
  2. Step 2: Convert to fraction form
    40,882.22/87,677.44 = 87,677.44/x
  3. Step 3: Cross multiply
    40,882.22x = 87,677.44 × 87,677.44
  4. Step 4: Simplify right side
    40,882.22x = 7,687,333,046.57
  5. Step 5: Solve for x
    x = 7,687,333,046.57/40,882.22
  6. Step 6: Final answer
    x = 188,036.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.