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Finding the Third Proportional to 106,466 and 227,215

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Solution

The third proportional to 106,466 and 227,215 is: 484,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,466 : 227,215 = 227,215 : x
  2. Step 2: Convert to fraction form
    106,466/227,215 = 227,215/x
  3. Step 3: Cross multiply
    106,466x = 227,215 × 227,215
  4. Step 4: Simplify right side
    106,466x = 51,626,656,225
  5. Step 5: Solve for x
    x = 51,626,656,225/106,466
  6. Step 6: Final answer
    x = 484,912.14

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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.