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Finding the Third Proportional to 101,954 and 219,532

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Solution

The third proportional to 101,954 and 219,532 is: 472,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954 : 219,532 = 219,532 : x
  2. Step 2: Convert to fraction form
    101,954/219,532 = 219,532/x
  3. Step 3: Cross multiply
    101,954x = 219,532 × 219,532
  4. Step 4: Simplify right side
    101,954x = 48,194,299,024
  5. Step 5: Solve for x
    x = 48,194,299,024/101,954
  6. Step 6: Final answer
    x = 472,706.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.