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Finding the Third Proportional to 86,310.75 and 184,614.75

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Solution

The third proportional to 86,310.75 and 184,614.75 is: 394,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,310.75 : 184,614.75 = 184,614.75 : x
  2. Step 2: Convert to fraction form
    86,310.75/184,614.75 = 184,614.75/x
  3. Step 3: Cross multiply
    86,310.75x = 184,614.75 × 184,614.75
  4. Step 4: Simplify right side
    86,310.75x = 34,082,605,917.56
  5. Step 5: Solve for x
    x = 34,082,605,917.56/86,310.75
  6. Step 6: Final answer
    x = 394,882.51

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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.