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Finding the Third Proportional to 41,799 and 91,221

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Solution

The third proportional to 41,799 and 91,221 is: 199,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,799 : 91,221 = 91,221 : x
  2. Step 2: Convert to fraction form
    41,799/91,221 = 91,221/x
  3. Step 3: Cross multiply
    41,799x = 91,221 × 91,221
  4. Step 4: Simplify right side
    41,799x = 8,321,270,841
  5. Step 5: Solve for x
    x = 8,321,270,841/41,799
  6. Step 6: Final answer
    x = 199,078.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.