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Finding the Third Proportional to 99,251.25 and 215,997

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Solution

The third proportional to 99,251.25 and 215,997 is: 470,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,251.25 : 215,997 = 215,997 : x
  2. Step 2: Convert to fraction form
    99,251.25/215,997 = 215,997/x
  3. Step 3: Cross multiply
    99,251.25x = 215,997 × 215,997
  4. Step 4: Simplify right side
    99,251.25x = 46,654,704,009
  5. Step 5: Solve for x
    x = 46,654,704,009/99,251.25
  6. Step 6: Final answer
    x = 470,066.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.