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Finding the Third Proportional to 86,436 and 188,016

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Solution

The third proportional to 86,436 and 188,016 is: 408,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,436 : 188,016 = 188,016 : x
  2. Step 2: Convert to fraction form
    86,436/188,016 = 188,016/x
  3. Step 3: Cross multiply
    86,436x = 188,016 × 188,016
  4. Step 4: Simplify right side
    86,436x = 35,350,016,256
  5. Step 5: Solve for x
    x = 35,350,016,256/86,436
  6. Step 6: Final answer
    x = 408,973.30

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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.