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Finding the Third Proportional to 97,538 and 212,948

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Solution

The third proportional to 97,538 and 212,948 is: 464,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,538 : 212,948 = 212,948 : x
  2. Step 2: Convert to fraction form
    97,538/212,948 = 212,948/x
  3. Step 3: Cross multiply
    97,538x = 212,948 × 212,948
  4. Step 4: Simplify right side
    97,538x = 45,346,850,704
  5. Step 5: Solve for x
    x = 45,346,850,704/97,538
  6. Step 6: Final answer
    x = 464,914.71

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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.