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Finding the Third Proportional to 99,963 and 211,149

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Solution

The third proportional to 99,963 and 211,149 is: 446,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,963 : 211,149 = 211,149 : x
  2. Step 2: Convert to fraction form
    99,963/211,149 = 211,149/x
  3. Step 3: Cross multiply
    99,963x = 211,149 × 211,149
  4. Step 4: Simplify right side
    99,963x = 44,583,900,201
  5. Step 5: Solve for x
    x = 44,583,900,201/99,963
  6. Step 6: Final answer
    x = 446,004.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.