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Finding the Third Proportional to 106,468 and 227,219

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Solution

The third proportional to 106,468 and 227,219 is: 484,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,468 : 227,219 = 227,219 : x
  2. Step 2: Convert to fraction form
    106,468/227,219 = 227,219/x
  3. Step 3: Cross multiply
    106,468x = 227,219 × 227,219
  4. Step 4: Simplify right side
    106,468x = 51,628,473,961
  5. Step 5: Solve for x
    x = 51,628,473,961/106,468
  6. Step 6: Final answer
    x = 484,920.11

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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.