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Finding the Third Proportional to 100,968 and 214,232

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Solution

The third proportional to 100,968 and 214,232 is: 454,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,968 : 214,232 = 214,232 : x
  2. Step 2: Convert to fraction form
    100,968/214,232 = 214,232/x
  3. Step 3: Cross multiply
    100,968x = 214,232 × 214,232
  4. Step 4: Simplify right side
    100,968x = 45,895,349,824
  5. Step 5: Solve for x
    x = 45,895,349,824/100,968
  6. Step 6: Final answer
    x = 454,553.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.