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Finding the Third Proportional to 39,186.60 and 85,882.46

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Solution

The third proportional to 39,186.60 and 85,882.46 is: 188,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186.60 : 85,882.46 = 85,882.46 : x
  2. Step 2: Convert to fraction form
    39,186.60/85,882.46 = 85,882.46/x
  3. Step 3: Cross multiply
    39,186.60x = 85,882.46 × 85,882.46
  4. Step 4: Simplify right side
    39,186.60x = 7,375,797,767.64
  5. Step 5: Solve for x
    x = 7,375,797,767.64/39,186.60
  6. Step 6: Final answer
    x = 188,222.46

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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.