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Finding the Third Proportional to 99,845 and 214,913

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Solution

The third proportional to 99,845 and 214,913 is: 462,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,845 : 214,913 = 214,913 : x
  2. Step 2: Convert to fraction form
    99,845/214,913 = 214,913/x
  3. Step 3: Cross multiply
    99,845x = 214,913 × 214,913
  4. Step 4: Simplify right side
    99,845x = 46,187,597,569
  5. Step 5: Solve for x
    x = 46,187,597,569/99,845
  6. Step 6: Final answer
    x = 462,592.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.