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Finding the Third Proportional to 85,169.81 and 184,446.84

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Solution

The third proportional to 85,169.81 and 184,446.84 is: 399,444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,169.81 : 184,446.84 = 184,446.84 : x
  2. Step 2: Convert to fraction form
    85,169.81/184,446.84 = 184,446.84/x
  3. Step 3: Cross multiply
    85,169.81x = 184,446.84 × 184,446.84
  4. Step 4: Simplify right side
    85,169.81x = 34,020,638,169.34
  5. Step 5: Solve for x
    x = 34,020,638,169.34/85,169.81
  6. Step 6: Final answer
    x = 399,444.79

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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.