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Finding the Third Proportional to 47,789 and 99,497

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Solution

The third proportional to 47,789 and 99,497 is: 207,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,789 : 99,497 = 99,497 : x
  2. Step 2: Convert to fraction form
    47,789/99,497 = 99,497/x
  3. Step 3: Cross multiply
    47,789x = 99,497 × 99,497
  4. Step 4: Simplify right side
    47,789x = 9,899,653,009
  5. Step 5: Solve for x
    x = 9,899,653,009/47,789
  6. Step 6: Final answer
    x = 207,153.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.