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Finding the Third Proportional to 96,209.44 and 150,923.06

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Solution

The third proportional to 96,209.44 and 150,923.06 is: 236,751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,209.44 : 150,923.06 = 150,923.06 : x
  2. Step 2: Convert to fraction form
    96,209.44/150,923.06 = 150,923.06/x
  3. Step 3: Cross multiply
    96,209.44x = 150,923.06 × 150,923.06
  4. Step 4: Simplify right side
    96,209.44x = 22,777,770,794.38
  5. Step 5: Solve for x
    x = 22,777,770,794.38/96,209.44
  6. Step 6: Final answer
    x = 236,751.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.