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Finding the Third Proportional to 87,848.50 and 192,626

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Solution

The third proportional to 87,848.50 and 192,626 is: 422,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,848.50 : 192,626 = 192,626 : x
  2. Step 2: Convert to fraction form
    87,848.50/192,626 = 192,626/x
  3. Step 3: Cross multiply
    87,848.50x = 192,626 × 192,626
  4. Step 4: Simplify right side
    87,848.50x = 37,104,775,876
  5. Step 5: Solve for x
    x = 37,104,775,876/87,848.50
  6. Step 6: Final answer
    x = 422,372.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.