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Finding the Third Proportional to 107,815 and 222,544

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Solution

The third proportional to 107,815 and 222,544 is: 459,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,815 : 222,544 = 222,544 : x
  2. Step 2: Convert to fraction form
    107,815/222,544 = 222,544/x
  3. Step 3: Cross multiply
    107,815x = 222,544 × 222,544
  4. Step 4: Simplify right side
    107,815x = 49,525,831,936
  5. Step 5: Solve for x
    x = 49,525,831,936/107,815
  6. Step 6: Final answer
    x = 459,359.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.