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Finding the Third Proportional to 97,200 and 213,408

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Solution

The third proportional to 97,200 and 213,408 is: 468,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,200 : 213,408 = 213,408 : x
  2. Step 2: Convert to fraction form
    97,200/213,408 = 213,408/x
  3. Step 3: Cross multiply
    97,200x = 213,408 × 213,408
  4. Step 4: Simplify right side
    97,200x = 45,542,974,464
  5. Step 5: Solve for x
    x = 45,542,974,464/97,200
  6. Step 6: Final answer
    x = 468,549.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.