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Finding the Third Proportional to 99,177.75 and 148,986.56

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Solution

The third proportional to 99,177.75 and 148,986.56 is: 223,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,177.75 : 148,986.56 = 148,986.56 : x
  2. Step 2: Convert to fraction form
    99,177.75/148,986.56 = 148,986.56/x
  3. Step 3: Cross multiply
    99,177.75x = 148,986.56 × 148,986.56
  4. Step 4: Simplify right side
    99,177.75x = 22,196,995,805.57
  5. Step 5: Solve for x
    x = 22,196,995,805.57/99,177.75
  6. Step 6: Final answer
    x = 223,810.24

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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.