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Finding the Third Proportional to 41,960.25 and 91,224.75

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Solution

The third proportional to 41,960.25 and 91,224.75 is: 198,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,960.25 : 91,224.75 = 91,224.75 : x
  2. Step 2: Convert to fraction form
    41,960.25/91,224.75 = 91,224.75/x
  3. Step 3: Cross multiply
    41,960.25x = 91,224.75 × 91,224.75
  4. Step 4: Simplify right side
    41,960.25x = 8,321,955,012.56
  5. Step 5: Solve for x
    x = 8,321,955,012.56/41,960.25
  6. Step 6: Final answer
    x = 198,329.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.