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Finding the Third Proportional to 79,893.84 and 167,180.20

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Solution

The third proportional to 79,893.84 and 167,180.20 is: 349,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,893.84 : 167,180.20 = 167,180.20 : x
  2. Step 2: Convert to fraction form
    79,893.84/167,180.20 = 167,180.20/x
  3. Step 3: Cross multiply
    79,893.84x = 167,180.20 × 167,180.20
  4. Step 4: Simplify right side
    79,893.84x = 27,949,220,316.92
  5. Step 5: Solve for x
    x = 27,949,220,316.92/79,893.84
  6. Step 6: Final answer
    x = 349,829.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.