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Finding the Third Proportional to 97,959.38 and 150,766.31

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Solution

The third proportional to 97,959.38 and 150,766.31 is: 232,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959.38 : 150,766.31 = 150,766.31 : x
  2. Step 2: Convert to fraction form
    97,959.38/150,766.31 = 150,766.31/x
  3. Step 3: Cross multiply
    97,959.38x = 150,766.31 × 150,766.31
  4. Step 4: Simplify right side
    97,959.38x = 22,730,480,984.85
  5. Step 5: Solve for x
    x = 22,730,480,984.85/97,959.38
  6. Step 6: Final answer
    x = 232,039.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.