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Finding the Third Proportional to 85,448.04 and 184,043.39

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Solution

The third proportional to 85,448.04 and 184,043.39 is: 396,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,448.04 : 184,043.39 = 184,043.39 : x
  2. Step 2: Convert to fraction form
    85,448.04/184,043.39 = 184,043.39/x
  3. Step 3: Cross multiply
    85,448.04x = 184,043.39 × 184,043.39
  4. Step 4: Simplify right side
    85,448.04x = 33,871,969,632.75
  5. Step 5: Solve for x
    x = 33,871,969,632.75/85,448.04
  6. Step 6: Final answer
    x = 396,404.29

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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.