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Finding the Third Proportional to 95,194 and 209,069

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Solution

The third proportional to 95,194 and 209,069 is: 459,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,194 : 209,069 = 209,069 : x
  2. Step 2: Convert to fraction form
    95,194/209,069 = 209,069/x
  3. Step 3: Cross multiply
    95,194x = 209,069 × 209,069
  4. Step 4: Simplify right side
    95,194x = 43,709,846,761
  5. Step 5: Solve for x
    x = 43,709,846,761/95,194
  6. Step 6: Final answer
    x = 459,165.98

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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.