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Finding the Third Proportional to 101,132 and 220,696

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Solution

The third proportional to 101,132 and 220,696 is: 481,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,132 : 220,696 = 220,696 : x
  2. Step 2: Convert to fraction form
    101,132/220,696 = 220,696/x
  3. Step 3: Cross multiply
    101,132x = 220,696 × 220,696
  4. Step 4: Simplify right side
    101,132x = 48,706,724,416
  5. Step 5: Solve for x
    x = 48,706,724,416/101,132
  6. Step 6: Final answer
    x = 481,615.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.