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Finding the Third Proportional to 106,381.13 and 230,478.75

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Solution

The third proportional to 106,381.13 and 230,478.75 is: 499,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,381.13 : 230,478.75 = 230,478.75 : x
  2. Step 2: Convert to fraction form
    106,381.13/230,478.75 = 230,478.75/x
  3. Step 3: Cross multiply
    106,381.13x = 230,478.75 × 230,478.75
  4. Step 4: Simplify right side
    106,381.13x = 53,120,454,201.56
  5. Step 5: Solve for x
    x = 53,120,454,201.56/106,381.13
  6. Step 6: Final answer
    x = 499,340.97

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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.