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Finding the Third Proportional to 101,827 and 221,717

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Solution

The third proportional to 101,827 and 221,717 is: 482,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,827 : 221,717 = 221,717 : x
  2. Step 2: Convert to fraction form
    101,827/221,717 = 221,717/x
  3. Step 3: Cross multiply
    101,827x = 221,717 × 221,717
  4. Step 4: Simplify right side
    101,827x = 49,158,428,089
  5. Step 5: Solve for x
    x = 49,158,428,089/101,827
  6. Step 6: Final answer
    x = 482,764.18

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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.