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Finding the Third Proportional to 95,794 and 209,708

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Solution

The third proportional to 95,794 and 209,708 is: 459,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,794 : 209,708 = 209,708 : x
  2. Step 2: Convert to fraction form
    95,794/209,708 = 209,708/x
  3. Step 3: Cross multiply
    95,794x = 209,708 × 209,708
  4. Step 4: Simplify right side
    95,794x = 43,977,445,264
  5. Step 5: Solve for x
    x = 43,977,445,264/95,794
  6. Step 6: Final answer
    x = 459,083.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.