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Finding the Third Proportional to 96,106 and 206,419

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Solution

The third proportional to 96,106 and 206,419 is: 443,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,106 : 206,419 = 206,419 : x
  2. Step 2: Convert to fraction form
    96,106/206,419 = 206,419/x
  3. Step 3: Cross multiply
    96,106x = 206,419 × 206,419
  4. Step 4: Simplify right side
    96,106x = 42,608,803,561
  5. Step 5: Solve for x
    x = 42,608,803,561/96,106
  6. Step 6: Final answer
    x = 443,352.17

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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.