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Finding the Third Proportional to 47,435 and 100,699

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Solution

The third proportional to 47,435 and 100,699 is: 213,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,435 : 100,699 = 100,699 : x
  2. Step 2: Convert to fraction form
    47,435/100,699 = 100,699/x
  3. Step 3: Cross multiply
    47,435x = 100,699 × 100,699
  4. Step 4: Simplify right side
    47,435x = 10,140,288,601
  5. Step 5: Solve for x
    x = 10,140,288,601/47,435
  6. Step 6: Final answer
    x = 213,772.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.