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Finding the Third Proportional to 90,441.56 and 196,954.88

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Solution

The third proportional to 90,441.56 and 196,954.88 is: 428,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,441.56 : 196,954.88 = 196,954.88 : x
  2. Step 2: Convert to fraction form
    90,441.56/196,954.88 = 196,954.88/x
  3. Step 3: Cross multiply
    90,441.56x = 196,954.88 × 196,954.88
  4. Step 4: Simplify right side
    90,441.56x = 38,791,222,786.27
  5. Step 5: Solve for x
    x = 38,791,222,786.27/90,441.56
  6. Step 6: Final answer
    x = 428,909.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.