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Finding the Third Proportional to 40,196 and 84,919

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Solution

The third proportional to 40,196 and 84,919 is: 179,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196 : 84,919 = 84,919 : x
  2. Step 2: Convert to fraction form
    40,196/84,919 = 84,919/x
  3. Step 3: Cross multiply
    40,196x = 84,919 × 84,919
  4. Step 4: Simplify right side
    40,196x = 7,211,236,561
  5. Step 5: Solve for x
    x = 7,211,236,561/40,196
  6. Step 6: Final answer
    x = 179,401.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.