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Finding the Third Proportional to 103,691 and 214,762

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Solution

The third proportional to 103,691 and 214,762 is: 444,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691 : 214,762 = 214,762 : x
  2. Step 2: Convert to fraction form
    103,691/214,762 = 214,762/x
  3. Step 3: Cross multiply
    103,691x = 214,762 × 214,762
  4. Step 4: Simplify right side
    103,691x = 46,122,716,644
  5. Step 5: Solve for x
    x = 46,122,716,644/103,691
  6. Step 6: Final answer
    x = 444,809.26

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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.