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Finding the Third Proportional to 90,581.50 and 196,771.25

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Solution

The third proportional to 90,581.50 and 196,771.25 is: 427,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,581.50 : 196,771.25 = 196,771.25 : x
  2. Step 2: Convert to fraction form
    90,581.50/196,771.25 = 196,771.25/x
  3. Step 3: Cross multiply
    90,581.50x = 196,771.25 × 196,771.25
  4. Step 4: Simplify right side
    90,581.50x = 38,718,924,826.56
  5. Step 5: Solve for x
    x = 38,718,924,826.56/90,581.50
  6. Step 6: Final answer
    x = 427,448.48

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