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Finding the Third Proportional to 97,904 and 208,609

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Solution

The third proportional to 97,904 and 208,609 is: 444,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,904 : 208,609 = 208,609 : x
  2. Step 2: Convert to fraction form
    97,904/208,609 = 208,609/x
  3. Step 3: Cross multiply
    97,904x = 208,609 × 208,609
  4. Step 4: Simplify right side
    97,904x = 43,517,714,881
  5. Step 5: Solve for x
    x = 43,517,714,881/97,904
  6. Step 6: Final answer
    x = 444,493.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.