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Finding the Third Proportional to 85,350.66 and 184,540.78

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Solution

The third proportional to 85,350.66 and 184,540.78 is: 399,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,350.66 : 184,540.78 = 184,540.78 : x
  2. Step 2: Convert to fraction form
    85,350.66/184,540.78 = 184,540.78/x
  3. Step 3: Cross multiply
    85,350.66x = 184,540.78 × 184,540.78
  4. Step 4: Simplify right side
    85,350.66x = 34,055,299,944.36
  5. Step 5: Solve for x
    x = 34,055,299,944.36/85,350.66
  6. Step 6: Final answer
    x = 399,004.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.