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Finding the Third Proportional to 107,402.20 and 235,461.30

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Solution

The third proportional to 107,402.20 and 235,461.30 is: 516,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,402.20 : 235,461.30 = 235,461.30 : x
  2. Step 2: Convert to fraction form
    107,402.20/235,461.30 = 235,461.30/x
  3. Step 3: Cross multiply
    107,402.20x = 235,461.30 × 235,461.30
  4. Step 4: Simplify right side
    107,402.20x = 55,442,026,005.14
  5. Step 5: Solve for x
    x = 55,442,026,005.14/107,402.20
  6. Step 6: Final answer
    x = 516,209.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.