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Finding the Third Proportional to 92,039 and 197,189

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Solution

The third proportional to 92,039 and 197,189 is: 422,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,039 : 197,189 = 197,189 : x
  2. Step 2: Convert to fraction form
    92,039/197,189 = 197,189/x
  3. Step 3: Cross multiply
    92,039x = 197,189 × 197,189
  4. Step 4: Simplify right side
    92,039x = 38,883,501,721
  5. Step 5: Solve for x
    x = 38,883,501,721/92,039
  6. Step 6: Final answer
    x = 422,467.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.