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Finding the Third Proportional to 86,283.38 and 184,561.13

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Solution

The third proportional to 86,283.38 and 184,561.13 is: 394,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,283.38 : 184,561.13 = 184,561.13 : x
  2. Step 2: Convert to fraction form
    86,283.38/184,561.13 = 184,561.13/x
  3. Step 3: Cross multiply
    86,283.38x = 184,561.13 × 184,561.13
  4. Step 4: Simplify right side
    86,283.38x = 34,062,808,861.27
  5. Step 5: Solve for x
    x = 34,062,808,861.27/86,283.38
  6. Step 6: Final answer
    x = 394,778.36

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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.