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Finding the Third Proportional to 107,139.75 and 230,403.38

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Solution

The third proportional to 107,139.75 and 230,403.38 is: 495,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,139.75 : 230,403.38 = 230,403.38 : x
  2. Step 2: Convert to fraction form
    107,139.75/230,403.38 = 230,403.38/x
  3. Step 3: Cross multiply
    107,139.75x = 230,403.38 × 230,403.38
  4. Step 4: Simplify right side
    107,139.75x = 53,085,715,211.39
  5. Step 5: Solve for x
    x = 53,085,715,211.39/107,139.75
  6. Step 6: Final answer
    x = 495,481.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.