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Finding the Third Proportional to 40,213.34 and 79,416.70

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Solution

The third proportional to 40,213.34 and 79,416.70 is: 156,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,213.34 : 79,416.70 = 79,416.70 : x
  2. Step 2: Convert to fraction form
    40,213.34/79,416.70 = 79,416.70/x
  3. Step 3: Cross multiply
    40,213.34x = 79,416.70 × 79,416.70
  4. Step 4: Simplify right side
    40,213.34x = 6,307,012,735.24
  5. Step 5: Solve for x
    x = 6,307,012,735.24/40,213.34
  6. Step 6: Final answer
    x = 156,838.83

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.