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Finding the Third Proportional to 102,008 and 221,794

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Solution

The third proportional to 102,008 and 221,794 is: 482,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,008 : 221,794 = 221,794 : x
  2. Step 2: Convert to fraction form
    102,008/221,794 = 221,794/x
  3. Step 3: Cross multiply
    102,008x = 221,794 × 221,794
  4. Step 4: Simplify right side
    102,008x = 49,192,578,436
  5. Step 5: Solve for x
    x = 49,192,578,436/102,008
  6. Step 6: Final answer
    x = 482,242.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.