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Finding the Third Proportional to 82,884.38 and 180,950.63

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Solution

The third proportional to 82,884.38 and 180,950.63 is: 395,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,884.38 : 180,950.63 = 180,950.63 : x
  2. Step 2: Convert to fraction form
    82,884.38/180,950.63 = 180,950.63/x
  3. Step 3: Cross multiply
    82,884.38x = 180,950.63 × 180,950.63
  4. Step 4: Simplify right side
    82,884.38x = 32,743,128,687.89
  5. Step 5: Solve for x
    x = 32,743,128,687.89/82,884.38
  6. Step 6: Final answer
    x = 395,045.85

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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.