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Finding the Third Proportional to 96,570 and 206,836

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Solution

The third proportional to 96,570 and 206,836 is: 443,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,570 : 206,836 = 206,836 : x
  2. Step 2: Convert to fraction form
    96,570/206,836 = 206,836/x
  3. Step 3: Cross multiply
    96,570x = 206,836 × 206,836
  4. Step 4: Simplify right side
    96,570x = 42,781,130,896
  5. Step 5: Solve for x
    x = 42,781,130,896/96,570
  6. Step 6: Final answer
    x = 443,006.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.