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Finding the Third Proportional to 42,228.28 and 91,757.81

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Solution

The third proportional to 42,228.28 and 91,757.81 is: 199,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,228.28 : 91,757.81 = 91,757.81 : x
  2. Step 2: Convert to fraction form
    42,228.28/91,757.81 = 91,757.81/x
  3. Step 3: Cross multiply
    42,228.28x = 91,757.81 × 91,757.81
  4. Step 4: Simplify right side
    42,228.28x = 8,419,496,154.79
  5. Step 5: Solve for x
    x = 8,419,496,154.79/42,228.28
  6. Step 6: Final answer
    x = 199,380.51

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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.