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Finding the Third Proportional to 97,750 and 212,996

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Solution

The third proportional to 97,750 and 212,996 is: 464,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,750 : 212,996 = 212,996 : x
  2. Step 2: Convert to fraction form
    97,750/212,996 = 212,996/x
  3. Step 3: Cross multiply
    97,750x = 212,996 × 212,996
  4. Step 4: Simplify right side
    97,750x = 45,367,296,016
  5. Step 5: Solve for x
    x = 45,367,296,016/97,750
  6. Step 6: Final answer
    x = 464,115.56

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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.