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Finding the Third Proportional to 85,163.91 and 184,816.27

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Solution

The third proportional to 85,163.91 and 184,816.27 is: 401,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,163.91 : 184,816.27 = 184,816.27 : x
  2. Step 2: Convert to fraction form
    85,163.91/184,816.27 = 184,816.27/x
  3. Step 3: Cross multiply
    85,163.91x = 184,816.27 × 184,816.27
  4. Step 4: Simplify right side
    85,163.91x = 34,157,052,039.57
  5. Step 5: Solve for x
    x = 34,157,052,039.57/85,163.91
  6. Step 6: Final answer
    x = 401,074.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.