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Finding the Third Proportional to 92,956 and 197,900

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Solution

The third proportional to 92,956 and 197,900 is: 421,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,956 : 197,900 = 197,900 : x
  2. Step 2: Convert to fraction form
    92,956/197,900 = 197,900/x
  3. Step 3: Cross multiply
    92,956x = 197,900 × 197,900
  4. Step 4: Simplify right side
    92,956x = 39,164,410,000
  5. Step 5: Solve for x
    x = 39,164,410,000/92,956
  6. Step 6: Final answer
    x = 421,322.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.