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Finding the Third Proportional to 89,306.44 and 192,634.31

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Solution

The third proportional to 89,306.44 and 192,634.31 is: 415,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,306.44 : 192,634.31 = 192,634.31 : x
  2. Step 2: Convert to fraction form
    89,306.44/192,634.31 = 192,634.31/x
  3. Step 3: Cross multiply
    89,306.44x = 192,634.31 × 192,634.31
  4. Step 4: Simplify right side
    89,306.44x = 37,107,978,352.35
  5. Step 5: Solve for x
    x = 37,107,978,352.35/89,306.44
  6. Step 6: Final answer
    x = 415,512.92

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Why These Related Problems?

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