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Finding the Third Proportional to 82,222.13 and 179,821.50

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Solution

The third proportional to 82,222.13 and 179,821.50 is: 393,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.13 : 179,821.50 = 179,821.50 : x
  2. Step 2: Convert to fraction form
    82,222.13/179,821.50 = 179,821.50/x
  3. Step 3: Cross multiply
    82,222.13x = 179,821.50 × 179,821.50
  4. Step 4: Simplify right side
    82,222.13x = 32,335,771,862.25
  5. Step 5: Solve for x
    x = 32,335,771,862.25/82,222.13
  6. Step 6: Final answer
    x = 393,273.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.