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Finding the Third Proportional to 100,927 and 219,326

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Solution

The third proportional to 100,927 and 219,326 is: 476,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,927 : 219,326 = 219,326 : x
  2. Step 2: Convert to fraction form
    100,927/219,326 = 219,326/x
  3. Step 3: Cross multiply
    100,927x = 219,326 × 219,326
  4. Step 4: Simplify right side
    100,927x = 48,103,894,276
  5. Step 5: Solve for x
    x = 48,103,894,276/100,927
  6. Step 6: Final answer
    x = 476,620.67

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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.