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Finding the Third Proportional to 90,198.56 and 194,850.56

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Solution

The third proportional to 90,198.56 and 194,850.56 is: 420,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,198.56 : 194,850.56 = 194,850.56 : x
  2. Step 2: Convert to fraction form
    90,198.56/194,850.56 = 194,850.56/x
  3. Step 3: Cross multiply
    90,198.56x = 194,850.56 × 194,850.56
  4. Step 4: Simplify right side
    90,198.56x = 37,966,741,706.57
  5. Step 5: Solve for x
    x = 37,966,741,706.57/90,198.56
  6. Step 6: Final answer
    x = 420,924.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.