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Finding the Third Proportional to 84,169.13 and 184,497.75

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Solution

The third proportional to 84,169.13 and 184,497.75 is: 404,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,169.13 : 184,497.75 = 184,497.75 : x
  2. Step 2: Convert to fraction form
    84,169.13/184,497.75 = 184,497.75/x
  3. Step 3: Cross multiply
    84,169.13x = 184,497.75 × 184,497.75
  4. Step 4: Simplify right side
    84,169.13x = 34,039,419,755.06
  5. Step 5: Solve for x
    x = 34,039,419,755.06/84,169.13
  6. Step 6: Final answer
    x = 404,416.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.