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Finding the Third Proportional to 99,349 and 211,819

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Solution

The third proportional to 99,349 and 211,819 is: 451,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,349 : 211,819 = 211,819 : x
  2. Step 2: Convert to fraction form
    99,349/211,819 = 211,819/x
  3. Step 3: Cross multiply
    99,349x = 211,819 × 211,819
  4. Step 4: Simplify right side
    99,349x = 44,867,288,761
  5. Step 5: Solve for x
    x = 44,867,288,761/99,349
  6. Step 6: Final answer
    x = 451,612.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.