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Finding the Third Proportional to 41,591.81 and 90,189.28

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Solution

The third proportional to 41,591.81 and 90,189.28 is: 195,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,591.81 : 90,189.28 = 90,189.28 : x
  2. Step 2: Convert to fraction form
    41,591.81/90,189.28 = 90,189.28/x
  3. Step 3: Cross multiply
    41,591.81x = 90,189.28 × 90,189.28
  4. Step 4: Simplify right side
    41,591.81x = 8,134,106,452.39
  5. Step 5: Solve for x
    x = 8,134,106,452.39/41,591.81
  6. Step 6: Final answer
    x = 195,569.90

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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.