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Finding the Third Proportional to 96,906 and 207,822

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Solution

The third proportional to 96,906 and 207,822 is: 445,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,906 : 207,822 = 207,822 : x
  2. Step 2: Convert to fraction form
    96,906/207,822 = 207,822/x
  3. Step 3: Cross multiply
    96,906x = 207,822 × 207,822
  4. Step 4: Simplify right side
    96,906x = 43,189,983,684
  5. Step 5: Solve for x
    x = 43,189,983,684/96,906
  6. Step 6: Final answer
    x = 445,689.47

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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.