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Finding the Third Proportional to 90,443 and 196,956.50

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Solution

The third proportional to 90,443 and 196,956.50 is: 428,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,443 : 196,956.50 = 196,956.50 : x
  2. Step 2: Convert to fraction form
    90,443/196,956.50 = 196,956.50/x
  3. Step 3: Cross multiply
    90,443x = 196,956.50 × 196,956.50
  4. Step 4: Simplify right side
    90,443x = 38,791,862,892.25
  5. Step 5: Solve for x
    x = 38,791,862,892.25/90,443
  6. Step 6: Final answer
    x = 428,909.51

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