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Finding the Third Proportional to 109,922 and 235,408

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Solution

The third proportional to 109,922 and 235,408 is: 504,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,922 : 235,408 = 235,408 : x
  2. Step 2: Convert to fraction form
    109,922/235,408 = 235,408/x
  3. Step 3: Cross multiply
    109,922x = 235,408 × 235,408
  4. Step 4: Simplify right side
    109,922x = 55,416,926,464
  5. Step 5: Solve for x
    x = 55,416,926,464/109,922
  6. Step 6: Final answer
    x = 504,147.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.