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Finding the Third Proportional to 87,845 and 193,183

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Solution

The third proportional to 87,845 and 193,183 is: 424,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,845 : 193,183 = 193,183 : x
  2. Step 2: Convert to fraction form
    87,845/193,183 = 193,183/x
  3. Step 3: Cross multiply
    87,845x = 193,183 × 193,183
  4. Step 4: Simplify right side
    87,845x = 37,319,671,489
  5. Step 5: Solve for x
    x = 37,319,671,489/87,845
  6. Step 6: Final answer
    x = 424,835.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.