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Finding the Third Proportional to 90,212.06 and 195,791.34

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Solution

The third proportional to 90,212.06 and 195,791.34 is: 424,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,212.06 : 195,791.34 = 195,791.34 : x
  2. Step 2: Convert to fraction form
    90,212.06/195,791.34 = 195,791.34/x
  3. Step 3: Cross multiply
    90,212.06x = 195,791.34 × 195,791.34
  4. Step 4: Simplify right side
    90,212.06x = 38,334,250,287.43
  5. Step 5: Solve for x
    x = 38,334,250,287.43/90,212.06
  6. Step 6: Final answer
    x = 424,934.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.