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Finding the Third Proportional to 97,422 and 213,096

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Solution

The third proportional to 97,422 and 213,096 is: 466,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,422 : 213,096 = 213,096 : x
  2. Step 2: Convert to fraction form
    97,422/213,096 = 213,096/x
  3. Step 3: Cross multiply
    97,422x = 213,096 × 213,096
  4. Step 4: Simplify right side
    97,422x = 45,409,905,216
  5. Step 5: Solve for x
    x = 45,409,905,216/97,422
  6. Step 6: Final answer
    x = 466,115.51

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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.