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Finding the Third Proportional to 109,242,936 and 234,067,848

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Solution

The third proportional to 109,242,936 and 234,067,848 is: 501,522,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242,936 : 234,067,848 = 234,067,848 : x
  2. Step 2: Convert to fraction form
    109,242,936/234,067,848 = 234,067,848/x
  3. Step 3: Cross multiply
    109,242,936x = 234,067,848 × 234,067,848
  4. Step 4: Simplify right side
    109,242,936x = 54,787,757,467,351,104
  5. Step 5: Solve for x
    x = 54,787,757,467,351,104/109,242,936
  6. Step 6: Final answer
    x = 501,522,198.81

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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.