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Finding the Third Proportional to 87,107 and 190,814

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Solution

The third proportional to 87,107 and 190,814 is: 417,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,107 : 190,814 = 190,814 : x
  2. Step 2: Convert to fraction form
    87,107/190,814 = 190,814/x
  3. Step 3: Cross multiply
    87,107x = 190,814 × 190,814
  4. Step 4: Simplify right side
    87,107x = 36,409,982,596
  5. Step 5: Solve for x
    x = 36,409,982,596/87,107
  6. Step 6: Final answer
    x = 417,991.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.