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Finding the Third Proportional to 95,205 and 207,906

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Solution

The third proportional to 95,205 and 207,906 is: 454,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,205 : 207,906 = 207,906 : x
  2. Step 2: Convert to fraction form
    95,205/207,906 = 207,906/x
  3. Step 3: Cross multiply
    95,205x = 207,906 × 207,906
  4. Step 4: Simplify right side
    95,205x = 43,224,904,836
  5. Step 5: Solve for x
    x = 43,224,904,836/95,205
  6. Step 6: Final answer
    x = 454,019.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.