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Finding the Third Proportional to 84,233.04 and 184,010.48

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Solution

The third proportional to 84,233.04 and 184,010.48 is: 401,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,233.04 : 184,010.48 = 184,010.48 : x
  2. Step 2: Convert to fraction form
    84,233.04/184,010.48 = 184,010.48/x
  3. Step 3: Cross multiply
    84,233.04x = 184,010.48 × 184,010.48
  4. Step 4: Simplify right side
    84,233.04x = 33,859,858,359.92
  5. Step 5: Solve for x
    x = 33,859,858,359.92/84,233.04
  6. Step 6: Final answer
    x = 401,978.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.