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Finding the Third Proportional to 101,906.50 and 221,372.25

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Solution

The third proportional to 101,906.50 and 221,372.25 is: 480,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,906.50 : 221,372.25 = 221,372.25 : x
  2. Step 2: Convert to fraction form
    101,906.50/221,372.25 = 221,372.25/x
  3. Step 3: Cross multiply
    101,906.50x = 221,372.25 × 221,372.25
  4. Step 4: Simplify right side
    101,906.50x = 49,005,673,070.06
  5. Step 5: Solve for x
    x = 49,005,673,070.06/101,906.50
  6. Step 6: Final answer
    x = 480,888.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.