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Finding the Third Proportional to 105,208 and 227,911

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Solution

The third proportional to 105,208 and 227,911 is: 493,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,208 : 227,911 = 227,911 : x
  2. Step 2: Convert to fraction form
    105,208/227,911 = 227,911/x
  3. Step 3: Cross multiply
    105,208x = 227,911 × 227,911
  4. Step 4: Simplify right side
    105,208x = 51,943,423,921
  5. Step 5: Solve for x
    x = 51,943,423,921/105,208
  6. Step 6: Final answer
    x = 493,721.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.