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Finding the Third Proportional to 134,082.38 and 198,804.38

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Solution

The third proportional to 134,082.38 and 198,804.38 is: 294,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,082.38 : 198,804.38 = 198,804.38 : x
  2. Step 2: Convert to fraction form
    134,082.38/198,804.38 = 198,804.38/x
  3. Step 3: Cross multiply
    134,082.38x = 198,804.38 × 198,804.38
  4. Step 4: Simplify right side
    134,082.38x = 39,523,179,519.14
  5. Step 5: Solve for x
    x = 39,523,179,519.14/134,082.38
  6. Step 6: Final answer
    x = 294,767.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.