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Finding the Third Proportional to 84,736.13 and 184,231.13

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Solution

The third proportional to 84,736.13 and 184,231.13 is: 400,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,736.13 : 184,231.13 = 184,231.13 : x
  2. Step 2: Convert to fraction form
    84,736.13/184,231.13 = 184,231.13/x
  3. Step 3: Cross multiply
    84,736.13x = 184,231.13 × 184,231.13
  4. Step 4: Simplify right side
    84,736.13x = 33,941,107,418.77
  5. Step 5: Solve for x
    x = 33,941,107,418.77/84,736.13
  6. Step 6: Final answer
    x = 400,550.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.