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Finding the Third Proportional to 41,606.16 and 91,694.53

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Solution

The third proportional to 41,606.16 and 91,694.53 is: 202,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,606.16 : 91,694.53 = 91,694.53 : x
  2. Step 2: Convert to fraction form
    41,606.16/91,694.53 = 91,694.53/x
  3. Step 3: Cross multiply
    41,606.16x = 91,694.53 × 91,694.53
  4. Step 4: Simplify right side
    41,606.16x = 8,407,887,061.16
  5. Step 5: Solve for x
    x = 8,407,887,061.16/41,606.16
  6. Step 6: Final answer
    x = 202,082.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.