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Finding the Third Proportional to 85,462.88 and 184,066.88

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Solution

The third proportional to 85,462.88 and 184,066.88 is: 396,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,462.88 : 184,066.88 = 184,066.88 : x
  2. Step 2: Convert to fraction form
    85,462.88/184,066.88 = 184,066.88/x
  3. Step 3: Cross multiply
    85,462.88x = 184,066.88 × 184,066.88
  4. Step 4: Simplify right side
    85,462.88x = 33,880,614,472.27
  5. Step 5: Solve for x
    x = 33,880,614,472.27/85,462.88
  6. Step 6: Final answer
    x = 396,436.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.