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Finding the Third Proportional to 101,904 and 211,008

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Solution

The third proportional to 101,904 and 211,008 is: 436,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,904 : 211,008 = 211,008 : x
  2. Step 2: Convert to fraction form
    101,904/211,008 = 211,008/x
  3. Step 3: Cross multiply
    101,904x = 211,008 × 211,008
  4. Step 4: Simplify right side
    101,904x = 44,524,376,064
  5. Step 5: Solve for x
    x = 44,524,376,064/101,904
  6. Step 6: Final answer
    x = 436,924.71

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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.