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Finding the Third Proportional to 96,796 and 202,460

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Solution

The third proportional to 96,796 and 202,460 is: 423,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,796 : 202,460 = 202,460 : x
  2. Step 2: Convert to fraction form
    96,796/202,460 = 202,460/x
  3. Step 3: Cross multiply
    96,796x = 202,460 × 202,460
  4. Step 4: Simplify right side
    96,796x = 40,990,051,600
  5. Step 5: Solve for x
    x = 40,990,051,600/96,796
  6. Step 6: Final answer
    x = 423,468.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.