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Finding the Third Proportional to 95,672 and 210,208

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Solution

The third proportional to 95,672 and 210,208 is: 461,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,672 : 210,208 = 210,208 : x
  2. Step 2: Convert to fraction form
    95,672/210,208 = 210,208/x
  3. Step 3: Cross multiply
    95,672x = 210,208 × 210,208
  4. Step 4: Simplify right side
    95,672x = 44,187,403,264
  5. Step 5: Solve for x
    x = 44,187,403,264/95,672
  6. Step 6: Final answer
    x = 461,863.48

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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.