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Finding the Third Proportional to 95,663 and 210,199

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Solution

The third proportional to 95,663 and 210,199 is: 461,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,663 : 210,199 = 210,199 : x
  2. Step 2: Convert to fraction form
    95,663/210,199 = 210,199/x
  3. Step 3: Cross multiply
    95,663x = 210,199 × 210,199
  4. Step 4: Simplify right side
    95,663x = 44,183,619,601
  5. Step 5: Solve for x
    x = 44,183,619,601/95,663
  6. Step 6: Final answer
    x = 461,867.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.