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Finding the Third Proportional to 90,632.25 and 198,132.75

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Solution

The third proportional to 90,632.25 and 198,132.75 is: 433,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,632.25 : 198,132.75 = 198,132.75 : x
  2. Step 2: Convert to fraction form
    90,632.25/198,132.75 = 198,132.75/x
  3. Step 3: Cross multiply
    90,632.25x = 198,132.75 × 198,132.75
  4. Step 4: Simplify right side
    90,632.25x = 39,256,586,622.56
  5. Step 5: Solve for x
    x = 39,256,586,622.56/90,632.25
  6. Step 6: Final answer
    x = 433,141.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.