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Finding the Third Proportional to 135,672.47 and 199,443.52

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Solution

The third proportional to 135,672.47 and 199,443.52 is: 293,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,672.47 : 199,443.52 = 199,443.52 : x
  2. Step 2: Convert to fraction form
    135,672.47/199,443.52 = 199,443.52/x
  3. Step 3: Cross multiply
    135,672.47x = 199,443.52 × 199,443.52
  4. Step 4: Simplify right side
    135,672.47x = 39,777,715,924.86
  5. Step 5: Solve for x
    x = 39,777,715,924.86/135,672.47
  6. Step 6: Final answer
    x = 293,189.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.