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Finding the Third Proportional to 89,016 and 190,668

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Solution

The third proportional to 89,016 and 190,668 is: 408,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,016 : 190,668 = 190,668 : x
  2. Step 2: Convert to fraction form
    89,016/190,668 = 190,668/x
  3. Step 3: Cross multiply
    89,016x = 190,668 × 190,668
  4. Step 4: Simplify right side
    89,016x = 36,354,286,224
  5. Step 5: Solve for x
    x = 36,354,286,224/89,016
  6. Step 6: Final answer
    x = 408,401.71

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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.