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Finding the Third Proportional to 96,838 and 209,756

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Solution

The third proportional to 96,838 and 209,756 is: 454,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838 : 209,756 = 209,756 : x
  2. Step 2: Convert to fraction form
    96,838/209,756 = 209,756/x
  3. Step 3: Cross multiply
    96,838x = 209,756 × 209,756
  4. Step 4: Simplify right side
    96,838x = 43,997,579,536
  5. Step 5: Solve for x
    x = 43,997,579,536/96,838
  6. Step 6: Final answer
    x = 454,342.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.