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Finding the Third Proportional to 84,712.50 and 184,183.88

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Solution

The third proportional to 84,712.50 and 184,183.88 is: 400,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,712.50 : 184,183.88 = 184,183.88 : x
  2. Step 2: Convert to fraction form
    84,712.50/184,183.88 = 184,183.88/x
  3. Step 3: Cross multiply
    84,712.50x = 184,183.88 × 184,183.88
  4. Step 4: Simplify right side
    84,712.50x = 33,923,699,810.02
  5. Step 5: Solve for x
    x = 33,923,699,810.02/84,712.50
  6. Step 6: Final answer
    x = 400,456.84

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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.