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Finding the Third Proportional to 86,631 and 188,058

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Solution

The third proportional to 86,631 and 188,058 is: 408,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,631 : 188,058 = 188,058 : x
  2. Step 2: Convert to fraction form
    86,631/188,058 = 188,058/x
  3. Step 3: Cross multiply
    86,631x = 188,058 × 188,058
  4. Step 4: Simplify right side
    86,631x = 35,365,811,364
  5. Step 5: Solve for x
    x = 35,365,811,364/86,631
  6. Step 6: Final answer
    x = 408,235.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.