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Finding the Third Proportional to 97,398 and 212,661

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Solution

The third proportional to 97,398 and 212,661 is: 464,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,398 : 212,661 = 212,661 : x
  2. Step 2: Convert to fraction form
    97,398/212,661 = 212,661/x
  3. Step 3: Cross multiply
    97,398x = 212,661 × 212,661
  4. Step 4: Simplify right side
    97,398x = 45,224,700,921
  5. Step 5: Solve for x
    x = 45,224,700,921/97,398
  6. Step 6: Final answer
    x = 464,328.85

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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.