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Finding the Third Proportional to 96,800 and 210,112

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Solution

The third proportional to 96,800 and 210,112 is: 456,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,800 : 210,112 = 210,112 : x
  2. Step 2: Convert to fraction form
    96,800/210,112 = 210,112/x
  3. Step 3: Cross multiply
    96,800x = 210,112 × 210,112
  4. Step 4: Simplify right side
    96,800x = 44,147,052,544
  5. Step 5: Solve for x
    x = 44,147,052,544/96,800
  6. Step 6: Final answer
    x = 456,064.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.