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Finding the Third Proportional to 96,514 and 212,660

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Solution

The third proportional to 96,514 and 212,660 is: 468,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,514 : 212,660 = 212,660 : x
  2. Step 2: Convert to fraction form
    96,514/212,660 = 212,660/x
  3. Step 3: Cross multiply
    96,514x = 212,660 × 212,660
  4. Step 4: Simplify right side
    96,514x = 45,224,275,600
  5. Step 5: Solve for x
    x = 45,224,275,600/96,514
  6. Step 6: Final answer
    x = 468,577.36

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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.