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Finding the Third Proportional to 96,849 and 210,853

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Solution

The third proportional to 96,849 and 210,853 is: 459,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,849 : 210,853 = 210,853 : x
  2. Step 2: Convert to fraction form
    96,849/210,853 = 210,853/x
  3. Step 3: Cross multiply
    96,849x = 210,853 × 210,853
  4. Step 4: Simplify right side
    96,849x = 44,458,987,609
  5. Step 5: Solve for x
    x = 44,458,987,609/96,849
  6. Step 6: Final answer
    x = 459,054.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.