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Finding the Third Proportional to 86,469.75 and 186,279.75

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Solution

The third proportional to 86,469.75 and 186,279.75 is: 401,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,469.75 : 186,279.75 = 186,279.75 : x
  2. Step 2: Convert to fraction form
    86,469.75/186,279.75 = 186,279.75/x
  3. Step 3: Cross multiply
    86,469.75x = 186,279.75 × 186,279.75
  4. Step 4: Simplify right side
    86,469.75x = 34,700,145,260.06
  5. Step 5: Solve for x
    x = 34,700,145,260.06/86,469.75
  6. Step 6: Final answer
    x = 401,298.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.