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Finding the Third Proportional to 99,235.13 and 149,077.13

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Solution

The third proportional to 99,235.13 and 149,077.13 is: 223,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,235.13 : 149,077.13 = 149,077.13 : x
  2. Step 2: Convert to fraction form
    99,235.13/149,077.13 = 149,077.13/x
  3. Step 3: Cross multiply
    99,235.13x = 149,077.13 × 149,077.13
  4. Step 4: Simplify right side
    99,235.13x = 22,223,989,198.27
  5. Step 5: Solve for x
    x = 22,223,989,198.27/99,235.13
  6. Step 6: Final answer
    x = 223,952.85

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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.