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Finding the Third Proportional to 95,709 and 209,823

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Solution

The third proportional to 95,709 and 209,823 is: 459,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,709 : 209,823 = 209,823 : x
  2. Step 2: Convert to fraction form
    95,709/209,823 = 209,823/x
  3. Step 3: Cross multiply
    95,709x = 209,823 × 209,823
  4. Step 4: Simplify right side
    95,709x = 44,025,691,329
  5. Step 5: Solve for x
    x = 44,025,691,329/95,709
  6. Step 6: Final answer
    x = 459,995.31

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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.