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Finding the Third Proportional to 96,213 and 206,436

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Solution

The third proportional to 96,213 and 206,436 is: 442,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,213 : 206,436 = 206,436 : x
  2. Step 2: Convert to fraction form
    96,213/206,436 = 206,436/x
  3. Step 3: Cross multiply
    96,213x = 206,436 × 206,436
  4. Step 4: Simplify right side
    96,213x = 42,615,822,096
  5. Step 5: Solve for x
    x = 42,615,822,096/96,213
  6. Step 6: Final answer
    x = 442,932.06

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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.