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Finding the Third Proportional to 41,889.66 and 91,309.78

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Solution

The third proportional to 41,889.66 and 91,309.78 is: 199,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,889.66 : 91,309.78 = 91,309.78 : x
  2. Step 2: Convert to fraction form
    41,889.66/91,309.78 = 91,309.78/x
  3. Step 3: Cross multiply
    41,889.66x = 91,309.78 × 91,309.78
  4. Step 4: Simplify right side
    41,889.66x = 8,337,476,151.92
  5. Step 5: Solve for x
    x = 8,337,476,151.92/41,889.66
  6. Step 6: Final answer
    x = 199,034.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.