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Finding the Third Proportional to 97,893 and 213,761

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Solution

The third proportional to 97,893 and 213,761 is: 466,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,893 : 213,761 = 213,761 : x
  2. Step 2: Convert to fraction form
    97,893/213,761 = 213,761/x
  3. Step 3: Cross multiply
    97,893x = 213,761 × 213,761
  4. Step 4: Simplify right side
    97,893x = 45,693,765,121
  5. Step 5: Solve for x
    x = 45,693,765,121/97,893
  6. Step 6: Final answer
    x = 466,772.55

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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.