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Finding the Third Proportional to 109,191.38 and 231,504.75

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Solution

The third proportional to 109,191.38 and 231,504.75 is: 490,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,191.38 : 231,504.75 = 231,504.75 : x
  2. Step 2: Convert to fraction form
    109,191.38/231,504.75 = 231,504.75/x
  3. Step 3: Cross multiply
    109,191.38x = 231,504.75 × 231,504.75
  4. Step 4: Simplify right side
    109,191.38x = 53,594,449,272.56
  5. Step 5: Solve for x
    x = 53,594,449,272.56/109,191.38
  6. Step 6: Final answer
    x = 490,830.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.