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Finding the Third Proportional to 86,035.92 and 184,523.48

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Solution

The third proportional to 86,035.92 and 184,523.48 is: 395,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,035.92 : 184,523.48 = 184,523.48 : x
  2. Step 2: Convert to fraction form
    86,035.92/184,523.48 = 184,523.48/x
  3. Step 3: Cross multiply
    86,035.92x = 184,523.48 × 184,523.48
  4. Step 4: Simplify right side
    86,035.92x = 34,048,916,285.89
  5. Step 5: Solve for x
    x = 34,048,916,285.89/86,035.92
  6. Step 6: Final answer
    x = 395,752.33

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