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Finding the Third Proportional to 47,435 and 99,229

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Solution

The third proportional to 47,435 and 99,229 is: 207,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,435 : 99,229 = 99,229 : x
  2. Step 2: Convert to fraction form
    47,435/99,229 = 99,229/x
  3. Step 3: Cross multiply
    47,435x = 99,229 × 99,229
  4. Step 4: Simplify right side
    47,435x = 9,846,394,441
  5. Step 5: Solve for x
    x = 9,846,394,441/47,435
  6. Step 6: Final answer
    x = 207,576.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.