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Finding the Third Proportional to 95,968 and 209,420

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Solution

The third proportional to 95,968 and 209,420 is: 456,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,968 : 209,420 = 209,420 : x
  2. Step 2: Convert to fraction form
    95,968/209,420 = 209,420/x
  3. Step 3: Cross multiply
    95,968x = 209,420 × 209,420
  4. Step 4: Simplify right side
    95,968x = 43,856,736,400
  5. Step 5: Solve for x
    x = 43,856,736,400/95,968
  6. Step 6: Final answer
    x = 456,993.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.