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Finding the Third Proportional to 105,183 and 231,399

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Solution

The third proportional to 105,183 and 231,399 is: 509,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,183 : 231,399 = 231,399 : x
  2. Step 2: Convert to fraction form
    105,183/231,399 = 231,399/x
  3. Step 3: Cross multiply
    105,183x = 231,399 × 231,399
  4. Step 4: Simplify right side
    105,183x = 53,545,497,201
  5. Step 5: Solve for x
    x = 53,545,497,201/105,183
  6. Step 6: Final answer
    x = 509,069.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.