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Finding the Third Proportional to 96,940 and 209,156

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Solution

The third proportional to 96,940 and 209,156 is: 451,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,940 : 209,156 = 209,156 : x
  2. Step 2: Convert to fraction form
    96,940/209,156 = 209,156/x
  3. Step 3: Cross multiply
    96,940x = 209,156 × 209,156
  4. Step 4: Simplify right side
    96,940x = 43,746,232,336
  5. Step 5: Solve for x
    x = 43,746,232,336/96,940
  6. Step 6: Final answer
    x = 451,271.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.