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Finding the Third Proportional to 85,448.25 and 184,044.50

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Solution

The third proportional to 85,448.25 and 184,044.50 is: 396,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,448.25 : 184,044.50 = 184,044.50 : x
  2. Step 2: Convert to fraction form
    85,448.25/184,044.50 = 184,044.50/x
  3. Step 3: Cross multiply
    85,448.25x = 184,044.50 × 184,044.50
  4. Step 4: Simplify right side
    85,448.25x = 33,872,377,980.25
  5. Step 5: Solve for x
    x = 33,872,377,980.25/85,448.25
  6. Step 6: Final answer
    x = 396,408.09

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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.