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Finding the Third Proportional to 96,770 and 214,276

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Solution

The third proportional to 96,770 and 214,276 is: 474,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,770 : 214,276 = 214,276 : x
  2. Step 2: Convert to fraction form
    96,770/214,276 = 214,276/x
  3. Step 3: Cross multiply
    96,770x = 214,276 × 214,276
  4. Step 4: Simplify right side
    96,770x = 45,914,204,176
  5. Step 5: Solve for x
    x = 45,914,204,176/96,770
  6. Step 6: Final answer
    x = 474,467.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.