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Finding the Third Proportional to 103,619 and 214,609

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Solution

The third proportional to 103,619 and 214,609 is: 444,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619 : 214,609 = 214,609 : x
  2. Step 2: Convert to fraction form
    103,619/214,609 = 214,609/x
  3. Step 3: Cross multiply
    103,619x = 214,609 × 214,609
  4. Step 4: Simplify right side
    103,619x = 46,057,022,881
  5. Step 5: Solve for x
    x = 46,057,022,881/103,619
  6. Step 6: Final answer
    x = 444,484.34

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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.