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Finding the Third Proportional to 96,815 and 209,714

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Solution

The third proportional to 96,815 and 209,714 is: 454,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,815 : 209,714 = 209,714 : x
  2. Step 2: Convert to fraction form
    96,815/209,714 = 209,714/x
  3. Step 3: Cross multiply
    96,815x = 209,714 × 209,714
  4. Step 4: Simplify right side
    96,815x = 43,979,961,796
  5. Step 5: Solve for x
    x = 43,979,961,796/96,815
  6. Step 6: Final answer
    x = 454,268.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.