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Finding the Third Proportional to 96,942 and 211,890

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Solution

The third proportional to 96,942 and 211,890 is: 463,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,942 : 211,890 = 211,890 : x
  2. Step 2: Convert to fraction form
    96,942/211,890 = 211,890/x
  3. Step 3: Cross multiply
    96,942x = 211,890 × 211,890
  4. Step 4: Simplify right side
    96,942x = 44,897,372,100
  5. Step 5: Solve for x
    x = 44,897,372,100/96,942
  6. Step 6: Final answer
    x = 463,136.43

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