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Finding the Third Proportional to 39,231.84 and 85,930.88

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Solution

The third proportional to 39,231.84 and 85,930.88 is: 188,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,231.84 : 85,930.88 = 85,930.88 : x
  2. Step 2: Convert to fraction form
    39,231.84/85,930.88 = 85,930.88/x
  3. Step 3: Cross multiply
    39,231.84x = 85,930.88 × 85,930.88
  4. Step 4: Simplify right side
    39,231.84x = 7,384,115,278.27
  5. Step 5: Solve for x
    x = 7,384,115,278.27/39,231.84
  6. Step 6: Final answer
    x = 188,217.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.