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Finding the Third Proportional to 33,780.66 and 78,193.13

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Solution

The third proportional to 33,780.66 and 78,193.13 is: 180,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,780.66 : 78,193.13 = 78,193.13 : x
  2. Step 2: Convert to fraction form
    33,780.66/78,193.13 = 78,193.13/x
  3. Step 3: Cross multiply
    33,780.66x = 78,193.13 × 78,193.13
  4. Step 4: Simplify right side
    33,780.66x = 6,114,164,797.27
  5. Step 5: Solve for x
    x = 6,114,164,797.27/33,780.66
  6. Step 6: Final answer
    x = 180,996.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.