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Finding the Third Proportional to 47,933 and 100,834

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Solution

The third proportional to 47,933 and 100,834 is: 212,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,933 : 100,834 = 100,834 : x
  2. Step 2: Convert to fraction form
    47,933/100,834 = 100,834/x
  3. Step 3: Cross multiply
    47,933x = 100,834 × 100,834
  4. Step 4: Simplify right side
    47,933x = 10,167,495,556
  5. Step 5: Solve for x
    x = 10,167,495,556/47,933
  6. Step 6: Final answer
    x = 212,118.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.