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Finding the Third Proportional to 36,317.91 and 78,667.78

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Solution

The third proportional to 36,317.91 and 78,667.78 is: 170,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,317.91 : 78,667.78 = 78,667.78 : x
  2. Step 2: Convert to fraction form
    36,317.91/78,667.78 = 78,667.78/x
  3. Step 3: Cross multiply
    36,317.91x = 78,667.78 × 78,667.78
  4. Step 4: Simplify right side
    36,317.91x = 6,188,619,806.80
  5. Step 5: Solve for x
    x = 6,188,619,806.80/36,317.91
  6. Step 6: Final answer
    x = 170,401.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.