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Finding the Third Proportional to 90,829.13 and 195,540.75

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Solution

The third proportional to 90,829.13 and 195,540.75 is: 420,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,829.13 : 195,540.75 = 195,540.75 : x
  2. Step 2: Convert to fraction form
    90,829.13/195,540.75 = 195,540.75/x
  3. Step 3: Cross multiply
    90,829.13x = 195,540.75 × 195,540.75
  4. Step 4: Simplify right side
    90,829.13x = 38,236,184,910.56
  5. Step 5: Solve for x
    x = 38,236,184,910.56/90,829.13
  6. Step 6: Final answer
    x = 420,968.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.