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Finding the Third Proportional to 96,182.44 and 149,296.92

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Solution

The third proportional to 96,182.44 and 149,296.92 is: 231,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,182.44 : 149,296.92 = 149,296.92 : x
  2. Step 2: Convert to fraction form
    96,182.44/149,296.92 = 149,296.92/x
  3. Step 3: Cross multiply
    96,182.44x = 149,296.92 × 149,296.92
  4. Step 4: Simplify right side
    96,182.44x = 22,289,570,881.35
  5. Step 5: Solve for x
    x = 22,289,570,881.35/96,182.44
  6. Step 6: Final answer
    x = 231,742.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.