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Finding the Third Proportional to 108,812 and 230,686

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Solution

The third proportional to 108,812 and 230,686 is: 489,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,812 : 230,686 = 230,686 : x
  2. Step 2: Convert to fraction form
    108,812/230,686 = 230,686/x
  3. Step 3: Cross multiply
    108,812x = 230,686 × 230,686
  4. Step 4: Simplify right side
    108,812x = 53,216,030,596
  5. Step 5: Solve for x
    x = 53,216,030,596/108,812
  6. Step 6: Final answer
    x = 489,063.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.