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Finding the Third Proportional to 90,749 and 197,244

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Solution

The third proportional to 90,749 and 197,244 is: 428,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,749 : 197,244 = 197,244 : x
  2. Step 2: Convert to fraction form
    90,749/197,244 = 197,244/x
  3. Step 3: Cross multiply
    90,749x = 197,244 × 197,244
  4. Step 4: Simplify right side
    90,749x = 38,905,195,536
  5. Step 5: Solve for x
    x = 38,905,195,536/90,749
  6. Step 6: Final answer
    x = 428,712.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.