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Finding the Third Proportional to 101,042,224 and 212,647,136

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Solution

The third proportional to 101,042,224 and 212,647,136 is: 447,523,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,042,224 : 212,647,136 = 212,647,136 : x
  2. Step 2: Convert to fraction form
    101,042,224/212,647,136 = 212,647,136/x
  3. Step 3: Cross multiply
    101,042,224x = 212,647,136 × 212,647,136
  4. Step 4: Simplify right side
    101,042,224x = 45,218,804,449,002,496
  5. Step 5: Solve for x
    x = 45,218,804,449,002,496/101,042,224
  6. Step 6: Final answer
    x = 447,523,843.59

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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.