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Finding the Third Proportional to 101,002 and 212,450

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Solution

The third proportional to 101,002 and 212,450 is: 446,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,002 : 212,450 = 212,450 : x
  2. Step 2: Convert to fraction form
    101,002/212,450 = 212,450/x
  3. Step 3: Cross multiply
    101,002x = 212,450 × 212,450
  4. Step 4: Simplify right side
    101,002x = 45,135,002,500
  5. Step 5: Solve for x
    x = 45,135,002,500/101,002
  6. Step 6: Final answer
    x = 446,872.36

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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.