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Finding the Third Proportional to 103,969 and 218,802

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Solution

The third proportional to 103,969 and 218,802 is: 460,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,969 : 218,802 = 218,802 : x
  2. Step 2: Convert to fraction form
    103,969/218,802 = 218,802/x
  3. Step 3: Cross multiply
    103,969x = 218,802 × 218,802
  4. Step 4: Simplify right side
    103,969x = 47,874,315,204
  5. Step 5: Solve for x
    x = 47,874,315,204/103,969
  6. Step 6: Final answer
    x = 460,467.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.