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Finding the Third Proportional to 106,317 and 220,105

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Solution

The third proportional to 106,317 and 220,105 is: 455,676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,317 : 220,105 = 220,105 : x
  2. Step 2: Convert to fraction form
    106,317/220,105 = 220,105/x
  3. Step 3: Cross multiply
    106,317x = 220,105 × 220,105
  4. Step 4: Simplify right side
    106,317x = 48,446,211,025
  5. Step 5: Solve for x
    x = 48,446,211,025/106,317
  6. Step 6: Final answer
    x = 455,676.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.