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Finding the Third Proportional to 45,218 and 96,268

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Solution

The third proportional to 45,218 and 96,268 is: 204,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,218 : 96,268 = 96,268 : x
  2. Step 2: Convert to fraction form
    45,218/96,268 = 96,268/x
  3. Step 3: Cross multiply
    45,218x = 96,268 × 96,268
  4. Step 4: Simplify right side
    45,218x = 9,267,527,824
  5. Step 5: Solve for x
    x = 9,267,527,824/45,218
  6. Step 6: Final answer
    x = 204,952.18

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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.