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Finding the Third Proportional to 141,196.13 and 215,104.13

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Solution

The third proportional to 141,196.13 and 215,104.13 is: 327,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,196.13 : 215,104.13 = 215,104.13 : x
  2. Step 2: Convert to fraction form
    141,196.13/215,104.13 = 215,104.13/x
  3. Step 3: Cross multiply
    141,196.13x = 215,104.13 × 215,104.13
  4. Step 4: Simplify right side
    141,196.13x = 46,269,784,592.02
  5. Step 5: Solve for x
    x = 46,269,784,592.02/141,196.13
  6. Step 6: Final answer
    x = 327,698.69

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Why These Related Problems?

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