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Finding the Third Proportional to 40,211 and 88,351

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Solution

The third proportional to 40,211 and 88,351 is: 194,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,211 : 88,351 = 88,351 : x
  2. Step 2: Convert to fraction form
    40,211/88,351 = 88,351/x
  3. Step 3: Cross multiply
    40,211x = 88,351 × 88,351
  4. Step 4: Simplify right side
    40,211x = 7,805,899,201
  5. Step 5: Solve for x
    x = 7,805,899,201/40,211
  6. Step 6: Final answer
    x = 194,123.48

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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.