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Finding the Third Proportional to 86,282.44 and 184,559.63

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Solution

The third proportional to 86,282.44 and 184,559.63 is: 394,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,282.44 : 184,559.63 = 184,559.63 : x
  2. Step 2: Convert to fraction form
    86,282.44/184,559.63 = 184,559.63/x
  3. Step 3: Cross multiply
    86,282.44x = 184,559.63 × 184,559.63
  4. Step 4: Simplify right side
    86,282.44x = 34,062,255,180.14
  5. Step 5: Solve for x
    x = 34,062,255,180.14/86,282.44
  6. Step 6: Final answer
    x = 394,776.23

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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.