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Finding the Third Proportional to 84,900.38 and 184,542.75

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Solution

The third proportional to 84,900.38 and 184,542.75 is: 401,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,900.38 : 184,542.75 = 184,542.75 : x
  2. Step 2: Convert to fraction form
    84,900.38/184,542.75 = 184,542.75/x
  3. Step 3: Cross multiply
    84,900.38x = 184,542.75 × 184,542.75
  4. Step 4: Simplify right side
    84,900.38x = 34,056,026,577.56
  5. Step 5: Solve for x
    x = 34,056,026,577.56/84,900.38
  6. Step 6: Final answer
    x = 401,129.28

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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.