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Finding the Third Proportional to 107,843 and 226,838

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Solution

The third proportional to 107,843 and 226,838 is: 477,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,843 : 226,838 = 226,838 : x
  2. Step 2: Convert to fraction form
    107,843/226,838 = 226,838/x
  3. Step 3: Cross multiply
    107,843x = 226,838 × 226,838
  4. Step 4: Simplify right side
    107,843x = 51,455,478,244
  5. Step 5: Solve for x
    x = 51,455,478,244/107,843
  6. Step 6: Final answer
    x = 477,133.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.