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Finding the Third Proportional to 83,091.50 and 181,220.50

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Solution

The third proportional to 83,091.50 and 181,220.50 is: 395,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,091.50 : 181,220.50 = 181,220.50 : x
  2. Step 2: Convert to fraction form
    83,091.50/181,220.50 = 181,220.50/x
  3. Step 3: Cross multiply
    83,091.50x = 181,220.50 × 181,220.50
  4. Step 4: Simplify right side
    83,091.50x = 32,840,869,620.25
  5. Step 5: Solve for x
    x = 32,840,869,620.25/83,091.50
  6. Step 6: Final answer
    x = 395,237.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.