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Finding the Third Proportional to 85,639.78 and 184,401.56

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Solution

The third proportional to 85,639.78 and 184,401.56 is: 397,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,639.78 : 184,401.56 = 184,401.56 : x
  2. Step 2: Convert to fraction form
    85,639.78/184,401.56 = 184,401.56/x
  3. Step 3: Cross multiply
    85,639.78x = 184,401.56 × 184,401.56
  4. Step 4: Simplify right side
    85,639.78x = 34,003,936,252.44
  5. Step 5: Solve for x
    x = 34,003,936,252.44/85,639.78
  6. Step 6: Final answer
    x = 397,057.72

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Why These Related Problems?

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