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Finding the Third Proportional to 88,182 and 193,860

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Solution

The third proportional to 88,182 and 193,860 is: 426,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,182 : 193,860 = 193,860 : x
  2. Step 2: Convert to fraction form
    88,182/193,860 = 193,860/x
  3. Step 3: Cross multiply
    88,182x = 193,860 × 193,860
  4. Step 4: Simplify right side
    88,182x = 37,581,699,600
  5. Step 5: Solve for x
    x = 37,581,699,600/88,182
  6. Step 6: Final answer
    x = 426,183.34

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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.