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Finding the Third Proportional to 85,438.13 and 184,015.13

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Solution

The third proportional to 85,438.13 and 184,015.13 is: 396,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,438.13 : 184,015.13 = 184,015.13 : x
  2. Step 2: Convert to fraction form
    85,438.13/184,015.13 = 184,015.13/x
  3. Step 3: Cross multiply
    85,438.13x = 184,015.13 × 184,015.13
  4. Step 4: Simplify right side
    85,438.13x = 33,861,566,228.77
  5. Step 5: Solve for x
    x = 33,861,566,228.77/85,438.13
  6. Step 6: Final answer
    x = 396,328.53

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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.