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Finding the Third Proportional to 90,319.11 and 194,512.01

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Solution

The third proportional to 90,319.11 and 194,512.01 is: 418,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,319.11 : 194,512.01 = 194,512.01 : x
  2. Step 2: Convert to fraction form
    90,319.11/194,512.01 = 194,512.01/x
  3. Step 3: Cross multiply
    90,319.11x = 194,512.01 × 194,512.01
  4. Step 4: Simplify right side
    90,319.11x = 37,834,921,183.25
  5. Step 5: Solve for x
    x = 37,834,921,183.25/90,319.11
  6. Step 6: Final answer
    x = 418,902.71

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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.