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Finding the Third Proportional to 86,302.69 and 184,600.13

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Solution

The third proportional to 86,302.69 and 184,600.13 is: 394,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,302.69 : 184,600.13 = 184,600.13 : x
  2. Step 2: Convert to fraction form
    86,302.69/184,600.13 = 184,600.13/x
  3. Step 3: Cross multiply
    86,302.69x = 184,600.13 × 184,600.13
  4. Step 4: Simplify right side
    86,302.69x = 34,077,206,150.02
  5. Step 5: Solve for x
    x = 34,077,206,150.02/86,302.69
  6. Step 6: Final answer
    x = 394,856.84

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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.