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Finding the Third Proportional to 107,032.31 and 235,251.38

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Solution

The third proportional to 107,032.31 and 235,251.38 is: 517,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,032.31 : 235,251.38 = 235,251.38 : x
  2. Step 2: Convert to fraction form
    107,032.31/235,251.38 = 235,251.38/x
  3. Step 3: Cross multiply
    107,032.31x = 235,251.38 × 235,251.38
  4. Step 4: Simplify right side
    107,032.31x = 55,343,209,439.39
  5. Step 5: Solve for x
    x = 55,343,209,439.39/107,032.31
  6. Step 6: Final answer
    x = 517,070.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.