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Finding the Third Proportional to 99,121.88 and 148,249.69

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Solution

The third proportional to 99,121.88 and 148,249.69 is: 221,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,121.88 : 148,249.69 = 148,249.69 : x
  2. Step 2: Convert to fraction form
    99,121.88/148,249.69 = 148,249.69/x
  3. Step 3: Cross multiply
    99,121.88x = 148,249.69 × 148,249.69
  4. Step 4: Simplify right side
    99,121.88x = 21,977,969,843.85
  5. Step 5: Solve for x
    x = 21,977,969,843.85/99,121.88
  6. Step 6: Final answer
    x = 221,726.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.