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Finding the Third Proportional to 87,808 and 188,954

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Solution

The third proportional to 87,808 and 188,954 is: 406,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,808 : 188,954 = 188,954 : x
  2. Step 2: Convert to fraction form
    87,808/188,954 = 188,954/x
  3. Step 3: Cross multiply
    87,808x = 188,954 × 188,954
  4. Step 4: Simplify right side
    87,808x = 35,703,614,116
  5. Step 5: Solve for x
    x = 35,703,614,116/87,808
  6. Step 6: Final answer
    x = 406,610.04

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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.