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Finding the Third Proportional to 87,348.38 and 188,069.63

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Solution

The third proportional to 87,348.38 and 188,069.63 is: 404,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,348.38 : 188,069.63 = 188,069.63 : x
  2. Step 2: Convert to fraction form
    87,348.38/188,069.63 = 188,069.63/x
  3. Step 3: Cross multiply
    87,348.38x = 188,069.63 × 188,069.63
  4. Step 4: Simplify right side
    87,348.38x = 35,370,183,847.64
  5. Step 5: Solve for x
    x = 35,370,183,847.64/87,348.38
  6. Step 6: Final answer
    x = 404,932.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.