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Finding the Third Proportional to 99,185.13 and 148,776.75

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Solution

The third proportional to 99,185.13 and 148,776.75 is: 223,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,185.13 : 148,776.75 = 148,776.75 : x
  2. Step 2: Convert to fraction form
    99,185.13/148,776.75 = 148,776.75/x
  3. Step 3: Cross multiply
    99,185.13x = 148,776.75 × 148,776.75
  4. Step 4: Simplify right side
    99,185.13x = 22,134,521,340.56
  5. Step 5: Solve for x
    x = 22,134,521,340.56/99,185.13
  6. Step 6: Final answer
    x = 223,163.70

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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.