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Finding the Third Proportional to 96,278 and 211,156

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Solution

The third proportional to 96,278 and 211,156 is: 463,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,278 : 211,156 = 211,156 : x
  2. Step 2: Convert to fraction form
    96,278/211,156 = 211,156/x
  3. Step 3: Cross multiply
    96,278x = 211,156 × 211,156
  4. Step 4: Simplify right side
    96,278x = 44,586,856,336
  5. Step 5: Solve for x
    x = 44,586,856,336/96,278
  6. Step 6: Final answer
    x = 463,105.34

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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.