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Finding the Third Proportional to 87,676.31 and 188,762.06

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Solution

The third proportional to 87,676.31 and 188,762.06 is: 406,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,676.31 : 188,762.06 = 188,762.06 : x
  2. Step 2: Convert to fraction form
    87,676.31/188,762.06 = 188,762.06/x
  3. Step 3: Cross multiply
    87,676.31x = 188,762.06 × 188,762.06
  4. Step 4: Simplify right side
    87,676.31x = 35,631,116,239.25
  5. Step 5: Solve for x
    x = 35,631,116,239.25/87,676.31
  6. Step 6: Final answer
    x = 406,393.87

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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.