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Finding the Third Proportional to 86,629.50 and 184,983.75

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Solution

The third proportional to 86,629.50 and 184,983.75 is: 395,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,629.50 : 184,983.75 = 184,983.75 : x
  2. Step 2: Convert to fraction form
    86,629.50/184,983.75 = 184,983.75/x
  3. Step 3: Cross multiply
    86,629.50x = 184,983.75 × 184,983.75
  4. Step 4: Simplify right side
    86,629.50x = 34,218,987,764.06
  5. Step 5: Solve for x
    x = 34,218,987,764.06/86,629.50
  6. Step 6: Final answer
    x = 395,003.87

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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.