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Finding the Third Proportional to 40,109.13 and 85,912.21

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Solution

The third proportional to 40,109.13 and 85,912.21 is: 184,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,109.13 : 85,912.21 = 85,912.21 : x
  2. Step 2: Convert to fraction form
    40,109.13/85,912.21 = 85,912.21/x
  3. Step 3: Cross multiply
    40,109.13x = 85,912.21 × 85,912.21
  4. Step 4: Simplify right side
    40,109.13x = 7,380,907,316.98
  5. Step 5: Solve for x
    x = 7,380,907,316.98/40,109.13
  6. Step 6: Final answer
    x = 184,020.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.