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Finding the Third Proportional to 96,928 and 211,858

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Solution

The third proportional to 96,928 and 211,858 is: 463,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,928 : 211,858 = 211,858 : x
  2. Step 2: Convert to fraction form
    96,928/211,858 = 211,858/x
  3. Step 3: Cross multiply
    96,928x = 211,858 × 211,858
  4. Step 4: Simplify right side
    96,928x = 44,883,812,164
  5. Step 5: Solve for x
    x = 44,883,812,164/96,928
  6. Step 6: Final answer
    x = 463,063.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.