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Finding the Third Proportional to 100,329.38 and 150,858.56

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Solution

The third proportional to 100,329.38 and 150,858.56 is: 226,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,329.38 : 150,858.56 = 150,858.56 : x
  2. Step 2: Convert to fraction form
    100,329.38/150,858.56 = 150,858.56/x
  3. Step 3: Cross multiply
    100,329.38x = 150,858.56 × 150,858.56
  4. Step 4: Simplify right side
    100,329.38x = 22,758,305,879.57
  5. Step 5: Solve for x
    x = 22,758,305,879.57/100,329.38
  6. Step 6: Final answer
    x = 226,835.92

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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.