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Finding the Third Proportional to 46,993 and 103,327

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Solution

The third proportional to 46,993 and 103,327 is: 227,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,993 : 103,327 = 103,327 : x
  2. Step 2: Convert to fraction form
    46,993/103,327 = 103,327/x
  3. Step 3: Cross multiply
    46,993x = 103,327 × 103,327
  4. Step 4: Simplify right side
    46,993x = 10,676,468,929
  5. Step 5: Solve for x
    x = 10,676,468,929/46,993
  6. Step 6: Final answer
    x = 227,192.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.