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Finding the Third Proportional to 87,958.41 and 192,524.34

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Solution

The third proportional to 87,958.41 and 192,524.34 is: 421,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,958.41 : 192,524.34 = 192,524.34 : x
  2. Step 2: Convert to fraction form
    87,958.41/192,524.34 = 192,524.34/x
  3. Step 3: Cross multiply
    87,958.41x = 192,524.34 × 192,524.34
  4. Step 4: Simplify right side
    87,958.41x = 37,065,622,936.37
  5. Step 5: Solve for x
    x = 37,065,622,936.37/87,958.41
  6. Step 6: Final answer
    x = 421,399.44

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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.