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Finding the Third Proportional to 101,972.75 and 220,894.75

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Solution

The third proportional to 101,972.75 and 220,894.75 is: 478,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972.75 : 220,894.75 = 220,894.75 : x
  2. Step 2: Convert to fraction form
    101,972.75/220,894.75 = 220,894.75/x
  3. Step 3: Cross multiply
    101,972.75x = 220,894.75 × 220,894.75
  4. Step 4: Simplify right side
    101,972.75x = 48,794,490,577.56
  5. Step 5: Solve for x
    x = 48,794,490,577.56/101,972.75
  6. Step 6: Final answer
    x = 478,505.19

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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.