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Finding the Third Proportional to 86,116.92 and 184,691.39

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Solution

The third proportional to 86,116.92 and 184,691.39 is: 396,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,116.92 : 184,691.39 = 184,691.39 : x
  2. Step 2: Convert to fraction form
    86,116.92/184,691.39 = 184,691.39/x
  3. Step 3: Cross multiply
    86,116.92x = 184,691.39 × 184,691.39
  4. Step 4: Simplify right side
    86,116.92x = 34,110,909,771.00
  5. Step 5: Solve for x
    x = 34,110,909,771.00/86,116.92
  6. Step 6: Final answer
    x = 396,099.97

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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.