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Finding the Third Proportional to 99,227.75 and 149,065.25

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Solution

The third proportional to 99,227.75 and 149,065.25 is: 223,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,227.75 : 149,065.25 = 149,065.25 : x
  2. Step 2: Convert to fraction form
    99,227.75/149,065.25 = 149,065.25/x
  3. Step 3: Cross multiply
    99,227.75x = 149,065.25 × 149,065.25
  4. Step 4: Simplify right side
    99,227.75x = 22,220,448,757.56
  5. Step 5: Solve for x
    x = 22,220,448,757.56/99,227.75
  6. Step 6: Final answer
    x = 223,933.82

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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.