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Finding the Third Proportional to 97,692 and 212,881

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Solution

The third proportional to 97,692 and 212,881 is: 463,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,692 : 212,881 = 212,881 : x
  2. Step 2: Convert to fraction form
    97,692/212,881 = 212,881/x
  3. Step 3: Cross multiply
    97,692x = 212,881 × 212,881
  4. Step 4: Simplify right side
    97,692x = 45,318,320,161
  5. Step 5: Solve for x
    x = 45,318,320,161/97,692
  6. Step 6: Final answer
    x = 463,889.78

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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.