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Finding the Third Proportional to 99,850 and 211,958

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Solution

The third proportional to 99,850 and 211,958 is: 449,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,850 : 211,958 = 211,958 : x
  2. Step 2: Convert to fraction form
    99,850/211,958 = 211,958/x
  3. Step 3: Cross multiply
    99,850x = 211,958 × 211,958
  4. Step 4: Simplify right side
    99,850x = 44,926,193,764
  5. Step 5: Solve for x
    x = 44,926,193,764/99,850
  6. Step 6: Final answer
    x = 449,936.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.