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Finding the Third Proportional to 96,880 and 215,756

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Solution

The third proportional to 96,880 and 215,756 is: 480,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,880 : 215,756 = 215,756 : x
  2. Step 2: Convert to fraction form
    96,880/215,756 = 215,756/x
  3. Step 3: Cross multiply
    96,880x = 215,756 × 215,756
  4. Step 4: Simplify right side
    96,880x = 46,550,651,536
  5. Step 5: Solve for x
    x = 46,550,651,536/96,880
  6. Step 6: Final answer
    x = 480,498.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.