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Finding the Third Proportional to 86,046.75 and 184,546.13

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Solution

The third proportional to 86,046.75 and 184,546.13 is: 395,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,046.75 : 184,546.13 = 184,546.13 : x
  2. Step 2: Convert to fraction form
    86,046.75/184,546.13 = 184,546.13/x
  3. Step 3: Cross multiply
    86,046.75x = 184,546.13 × 184,546.13
  4. Step 4: Simplify right side
    86,046.75x = 34,057,272,252.52
  5. Step 5: Solve for x
    x = 34,057,272,252.52/86,046.75
  6. Step 6: Final answer
    x = 395,799.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.