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Finding the Third Proportional to 101,906 and 211,012

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Solution

The third proportional to 101,906 and 211,012 is: 436,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,906 : 211,012 = 211,012 : x
  2. Step 2: Convert to fraction form
    101,906/211,012 = 211,012/x
  3. Step 3: Cross multiply
    101,906x = 211,012 × 211,012
  4. Step 4: Simplify right side
    101,906x = 44,526,064,144
  5. Step 5: Solve for x
    x = 44,526,064,144/101,906
  6. Step 6: Final answer
    x = 436,932.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.