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Finding the Third Proportional to 103,922 and 226,040

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Solution

The third proportional to 103,922 and 226,040 is: 491,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,922 : 226,040 = 226,040 : x
  2. Step 2: Convert to fraction form
    103,922/226,040 = 226,040/x
  3. Step 3: Cross multiply
    103,922x = 226,040 × 226,040
  4. Step 4: Simplify right side
    103,922x = 51,094,081,600
  5. Step 5: Solve for x
    x = 51,094,081,600/103,922
  6. Step 6: Final answer
    x = 491,657.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.