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Finding the Third Proportional to 132,795.38 and 200,198.60

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Solution

The third proportional to 132,795.38 and 200,198.60 is: 301,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,795.38 : 200,198.60 = 200,198.60 : x
  2. Step 2: Convert to fraction form
    132,795.38/200,198.60 = 200,198.60/x
  3. Step 3: Cross multiply
    132,795.38x = 200,198.60 × 200,198.60
  4. Step 4: Simplify right side
    132,795.38x = 40,079,479,187.80
  5. Step 5: Solve for x
    x = 40,079,479,187.80/132,795.38
  6. Step 6: Final answer
    x = 301,813.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.