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Finding the Third Proportional to 96,619 and 206,507

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Solution

The third proportional to 96,619 and 206,507 is: 441,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,619 : 206,507 = 206,507 : x
  2. Step 2: Convert to fraction form
    96,619/206,507 = 206,507/x
  3. Step 3: Cross multiply
    96,619x = 206,507 × 206,507
  4. Step 4: Simplify right side
    96,619x = 42,645,141,049
  5. Step 5: Solve for x
    x = 42,645,141,049/96,619
  6. Step 6: Final answer
    x = 441,374.27

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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.