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Finding the Third Proportional to 108,452.11 and 235,003.78

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Solution

The third proportional to 108,452.11 and 235,003.78 is: 509,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,452.11 : 235,003.78 = 235,003.78 : x
  2. Step 2: Convert to fraction form
    108,452.11/235,003.78 = 235,003.78/x
  3. Step 3: Cross multiply
    108,452.11x = 235,003.78 × 235,003.78
  4. Step 4: Simplify right side
    108,452.11x = 55,226,777,201.80
  5. Step 5: Solve for x
    x = 55,226,777,201.80/108,452.11
  6. Step 6: Final answer
    x = 509,227.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.