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Finding the Third Proportional to 96,313 and 206,963

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Solution

The third proportional to 96,313 and 206,963 is: 444,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,313 : 206,963 = 206,963 : x
  2. Step 2: Convert to fraction form
    96,313/206,963 = 206,963/x
  3. Step 3: Cross multiply
    96,313x = 206,963 × 206,963
  4. Step 4: Simplify right side
    96,313x = 42,833,683,369
  5. Step 5: Solve for x
    x = 42,833,683,369/96,313
  6. Step 6: Final answer
    x = 444,734.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.