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Finding the Third Proportional to 105,622 and 219,951

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Solution

The third proportional to 105,622 and 219,951 is: 458,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,622 : 219,951 = 219,951 : x
  2. Step 2: Convert to fraction form
    105,622/219,951 = 219,951/x
  3. Step 3: Cross multiply
    105,622x = 219,951 × 219,951
  4. Step 4: Simplify right side
    105,622x = 48,378,442,401
  5. Step 5: Solve for x
    x = 48,378,442,401/105,622
  6. Step 6: Final answer
    x = 458,033.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.