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Finding the Third Proportional to 96,268 and 211,135

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Solution

The third proportional to 96,268 and 211,135 is: 463,061.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,268 : 211,135 = 211,135 : x
  2. Step 2: Convert to fraction form
    96,268/211,135 = 211,135/x
  3. Step 3: Cross multiply
    96,268x = 211,135 × 211,135
  4. Step 4: Simplify right side
    96,268x = 44,577,988,225
  5. Step 5: Solve for x
    x = 44,577,988,225/96,268
  6. Step 6: Final answer
    x = 463,061.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.