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Finding the Third Proportional to 87,103 and 190,806

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Solution

The third proportional to 87,103 and 190,806 is: 417,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,103 : 190,806 = 190,806 : x
  2. Step 2: Convert to fraction form
    87,103/190,806 = 190,806/x
  3. Step 3: Cross multiply
    87,103x = 190,806 × 190,806
  4. Step 4: Simplify right side
    87,103x = 36,406,929,636
  5. Step 5: Solve for x
    x = 36,406,929,636/87,103
  6. Step 6: Final answer
    x = 417,975.61

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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.