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Finding the Third Proportional to 96,680.44 and 149,395.78

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Solution

The third proportional to 96,680.44 and 149,395.78 is: 230,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,680.44 : 149,395.78 = 149,395.78 : x
  2. Step 2: Convert to fraction form
    96,680.44/149,395.78 = 149,395.78/x
  3. Step 3: Cross multiply
    96,680.44x = 149,395.78 × 149,395.78
  4. Step 4: Simplify right side
    96,680.44x = 22,319,099,455.30
  5. Step 5: Solve for x
    x = 22,319,099,455.30/96,680.44
  6. Step 6: Final answer
    x = 230,854.35

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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.