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Finding the Third Proportional to 96,907 and 207,827

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Solution

The third proportional to 96,907 and 207,827 is: 445,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,907 : 207,827 = 207,827 : x
  2. Step 2: Convert to fraction form
    96,907/207,827 = 207,827/x
  3. Step 3: Cross multiply
    96,907x = 207,827 × 207,827
  4. Step 4: Simplify right side
    96,907x = 43,192,061,929
  5. Step 5: Solve for x
    x = 43,192,061,929/96,907
  6. Step 6: Final answer
    x = 445,706.32

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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.