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Finding the Third Proportional to 87,778 and 186,014

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Solution

The third proportional to 87,778 and 186,014 is: 394,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,778 : 186,014 = 186,014 : x
  2. Step 2: Convert to fraction form
    87,778/186,014 = 186,014/x
  3. Step 3: Cross multiply
    87,778x = 186,014 × 186,014
  4. Step 4: Simplify right side
    87,778x = 34,601,208,196
  5. Step 5: Solve for x
    x = 34,601,208,196/87,778
  6. Step 6: Final answer
    x = 394,189.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.