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Finding the Third Proportional to 141,195.38 and 215,103.94

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Solution

The third proportional to 141,195.38 and 215,103.94 is: 327,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,195.38 : 215,103.94 = 215,103.94 : x
  2. Step 2: Convert to fraction form
    141,195.38/215,103.94 = 215,103.94/x
  3. Step 3: Cross multiply
    141,195.38x = 215,103.94 × 215,103.94
  4. Step 4: Simplify right side
    141,195.38x = 46,269,703,928.00
  5. Step 5: Solve for x
    x = 46,269,703,928.00/141,195.38
  6. Step 6: Final answer
    x = 327,699.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.