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Finding the Third Proportional to 90,441.56 and 192,891.38

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Solution

The third proportional to 90,441.56 and 192,891.38 is: 411,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,441.56 : 192,891.38 = 192,891.38 : x
  2. Step 2: Convert to fraction form
    90,441.56/192,891.38 = 192,891.38/x
  3. Step 3: Cross multiply
    90,441.56x = 192,891.38 × 192,891.38
  4. Step 4: Simplify right side
    90,441.56x = 37,207,082,549.39
  5. Step 5: Solve for x
    x = 37,207,082,549.39/90,441.56
  6. Step 6: Final answer
    x = 411,393.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.