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Finding the Third Proportional to 85,449.25 and 184,046.25

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Solution

The third proportional to 85,449.25 and 184,046.25 is: 396,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,449.25 : 184,046.25 = 184,046.25 : x
  2. Step 2: Convert to fraction form
    85,449.25/184,046.25 = 184,046.25/x
  3. Step 3: Cross multiply
    85,449.25x = 184,046.25 × 184,046.25
  4. Step 4: Simplify right side
    85,449.25x = 33,873,022,139.06
  5. Step 5: Solve for x
    x = 33,873,022,139.06/85,449.25
  6. Step 6: Final answer
    x = 396,410.99

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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.