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Finding the Third Proportional to 36,323.44 and 78,213.09

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Solution

The third proportional to 36,323.44 and 78,213.09 is: 168,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,323.44 : 78,213.09 = 78,213.09 : x
  2. Step 2: Convert to fraction form
    36,323.44/78,213.09 = 78,213.09/x
  3. Step 3: Cross multiply
    36,323.44x = 78,213.09 × 78,213.09
  4. Step 4: Simplify right side
    36,323.44x = 6,117,288,033.95
  5. Step 5: Solve for x
    x = 6,117,288,033.95/36,323.44
  6. Step 6: Final answer
    x = 168,411.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.