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Finding the Third Proportional to 88,668 and 189,801

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Solution

The third proportional to 88,668 and 189,801 is: 406,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,668 : 189,801 = 189,801 : x
  2. Step 2: Convert to fraction form
    88,668/189,801 = 189,801/x
  3. Step 3: Cross multiply
    88,668x = 189,801 × 189,801
  4. Step 4: Simplify right side
    88,668x = 36,024,419,601
  5. Step 5: Solve for x
    x = 36,024,419,601/88,668
  6. Step 6: Final answer
    x = 406,284.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.