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Finding the Third Proportional to 96,393.38 and 215,142.75

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Solution

The third proportional to 96,393.38 and 215,142.75 is: 480,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,393.38 : 215,142.75 = 215,142.75 : x
  2. Step 2: Convert to fraction form
    96,393.38/215,142.75 = 215,142.75/x
  3. Step 3: Cross multiply
    96,393.38x = 215,142.75 × 215,142.75
  4. Step 4: Simplify right side
    96,393.38x = 46,286,402,877.56
  5. Step 5: Solve for x
    x = 46,286,402,877.56/96,393.38
  6. Step 6: Final answer
    x = 480,182.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.