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Finding the Third Proportional to 86,611 and 195,625

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Solution

The third proportional to 86,611 and 195,625 is: 441,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,611 : 195,625 = 195,625 : x
  2. Step 2: Convert to fraction form
    86,611/195,625 = 195,625/x
  3. Step 3: Cross multiply
    86,611x = 195,625 × 195,625
  4. Step 4: Simplify right side
    86,611x = 38,269,140,625
  5. Step 5: Solve for x
    x = 38,269,140,625/86,611
  6. Step 6: Final answer
    x = 441,850.81

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.