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Finding the Third Proportional to 101,007 and 219,699

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Solution

The third proportional to 101,007 and 219,699 is: 477,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,007 : 219,699 = 219,699 : x
  2. Step 2: Convert to fraction form
    101,007/219,699 = 219,699/x
  3. Step 3: Cross multiply
    101,007x = 219,699 × 219,699
  4. Step 4: Simplify right side
    101,007x = 48,267,650,601
  5. Step 5: Solve for x
    x = 48,267,650,601/101,007
  6. Step 6: Final answer
    x = 477,864.41

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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.