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Finding the Third Proportional to 96,904 and 207,817

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Solution

The third proportional to 96,904 and 207,817 is: 445,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904 : 207,817 = 207,817 : x
  2. Step 2: Convert to fraction form
    96,904/207,817 = 207,817/x
  3. Step 3: Cross multiply
    96,904x = 207,817 × 207,817
  4. Step 4: Simplify right side
    96,904x = 43,187,905,489
  5. Step 5: Solve for x
    x = 43,187,905,489/96,904
  6. Step 6: Final answer
    x = 445,677.22

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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.