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Finding the Third Proportional to 101,697 and 211,810

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Solution

The third proportional to 101,697 and 211,810 is: 441,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,697 : 211,810 = 211,810 : x
  2. Step 2: Convert to fraction form
    101,697/211,810 = 211,810/x
  3. Step 3: Cross multiply
    101,697x = 211,810 × 211,810
  4. Step 4: Simplify right side
    101,697x = 44,863,476,100
  5. Step 5: Solve for x
    x = 44,863,476,100/101,697
  6. Step 6: Final answer
    x = 441,148.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.