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Finding the Third Proportional to 39,115.97 and 84,467.81

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Solution

The third proportional to 39,115.97 and 84,467.81 is: 182,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115.97 : 84,467.81 = 84,467.81 : x
  2. Step 2: Convert to fraction form
    39,115.97/84,467.81 = 84,467.81/x
  3. Step 3: Cross multiply
    39,115.97x = 84,467.81 × 84,467.81
  4. Step 4: Simplify right side
    39,115.97x = 7,134,811,348.54
  5. Step 5: Solve for x
    x = 7,134,811,348.54/39,115.97
  6. Step 6: Final answer
    x = 182,401.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.