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Finding the Third Proportional to 106,422 and 221,858

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Solution

The third proportional to 106,422 and 221,858 is: 462,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,422 : 221,858 = 221,858 : x
  2. Step 2: Convert to fraction form
    106,422/221,858 = 221,858/x
  3. Step 3: Cross multiply
    106,422x = 221,858 × 221,858
  4. Step 4: Simplify right side
    106,422x = 49,220,972,164
  5. Step 5: Solve for x
    x = 49,220,972,164/106,422
  6. Step 6: Final answer
    x = 462,507.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.