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Finding the Third Proportional to 85,849.03 and 184,153.92

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Solution

The third proportional to 85,849.03 and 184,153.92 is: 395,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,849.03 : 184,153.92 = 184,153.92 : x
  2. Step 2: Convert to fraction form
    85,849.03/184,153.92 = 184,153.92/x
  3. Step 3: Cross multiply
    85,849.03x = 184,153.92 × 184,153.92
  4. Step 4: Simplify right side
    85,849.03x = 33,912,666,941.94
  5. Step 5: Solve for x
    x = 33,912,666,941.94/85,849.03
  6. Step 6: Final answer
    x = 395,026.79

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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.