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Finding the Third Proportional to 87,866 and 193,222

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Solution

The third proportional to 87,866 and 193,222 is: 424,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,866 : 193,222 = 193,222 : x
  2. Step 2: Convert to fraction form
    87,866/193,222 = 193,222/x
  3. Step 3: Cross multiply
    87,866x = 193,222 × 193,222
  4. Step 4: Simplify right side
    87,866x = 37,334,741,284
  5. Step 5: Solve for x
    x = 37,334,741,284/87,866
  6. Step 6: Final answer
    x = 424,905.44

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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.