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Finding the Third Proportional to 106,464 and 227,211

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Solution

The third proportional to 106,464 and 227,211 is: 484,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,464 : 227,211 = 227,211 : x
  2. Step 2: Convert to fraction form
    106,464/227,211 = 227,211/x
  3. Step 3: Cross multiply
    106,464x = 227,211 × 227,211
  4. Step 4: Simplify right side
    106,464x = 51,624,838,521
  5. Step 5: Solve for x
    x = 51,624,838,521/106,464
  6. Step 6: Final answer
    x = 484,904.18

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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.