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Finding the Third Proportional to 96,512 and 212,656

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Solution

The third proportional to 96,512 and 212,656 is: 468,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,512 : 212,656 = 212,656 : x
  2. Step 2: Convert to fraction form
    96,512/212,656 = 212,656/x
  3. Step 3: Cross multiply
    96,512x = 212,656 × 212,656
  4. Step 4: Simplify right side
    96,512x = 45,222,574,336
  5. Step 5: Solve for x
    x = 45,222,574,336/96,512
  6. Step 6: Final answer
    x = 468,569.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.