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Finding the Third Proportional to 106,994 and 227,812

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Solution

The third proportional to 106,994 and 227,812 is: 485,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,994 : 227,812 = 227,812 : x
  2. Step 2: Convert to fraction form
    106,994/227,812 = 227,812/x
  3. Step 3: Cross multiply
    106,994x = 227,812 × 227,812
  4. Step 4: Simplify right side
    106,994x = 51,898,307,344
  5. Step 5: Solve for x
    x = 51,898,307,344/106,994
  6. Step 6: Final answer
    x = 485,058.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.