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Finding the Third Proportional to 99,983 and 211,207

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Solution

The third proportional to 99,983 and 211,207 is: 446,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,983 : 211,207 = 211,207 : x
  2. Step 2: Convert to fraction form
    99,983/211,207 = 211,207/x
  3. Step 3: Cross multiply
    99,983x = 211,207 × 211,207
  4. Step 4: Simplify right side
    99,983x = 44,608,396,849
  5. Step 5: Solve for x
    x = 44,608,396,849/99,983
  6. Step 6: Final answer
    x = 446,159.82

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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.