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Finding the Third Proportional to 99,819 and 218,961.75

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Solution

The third proportional to 99,819 and 218,961.75 is: 480,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,819 : 218,961.75 = 218,961.75 : x
  2. Step 2: Convert to fraction form
    99,819/218,961.75 = 218,961.75/x
  3. Step 3: Cross multiply
    99,819x = 218,961.75 × 218,961.75
  4. Step 4: Simplify right side
    99,819x = 47,944,247,963.06
  5. Step 5: Solve for x
    x = 47,944,247,963.06/99,819
  6. Step 6: Final answer
    x = 480,311.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.