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Finding the Third Proportional to 89,278.29 and 192,223.20

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Solution

The third proportional to 89,278.29 and 192,223.20 is: 413,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,278.29 : 192,223.20 = 192,223.20 : x
  2. Step 2: Convert to fraction form
    89,278.29/192,223.20 = 192,223.20/x
  3. Step 3: Cross multiply
    89,278.29x = 192,223.20 × 192,223.20
  4. Step 4: Simplify right side
    89,278.29x = 36,949,760,195.07
  5. Step 5: Solve for x
    x = 36,949,760,195.07/89,278.29
  6. Step 6: Final answer
    x = 413,871.71

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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.