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Finding the Third Proportional to 92,916 and 197,818

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Solution

The third proportional to 92,916 and 197,818 is: 421,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,916 : 197,818 = 197,818 : x
  2. Step 2: Convert to fraction form
    92,916/197,818 = 197,818/x
  3. Step 3: Cross multiply
    92,916x = 197,818 × 197,818
  4. Step 4: Simplify right side
    92,916x = 39,131,961,124
  5. Step 5: Solve for x
    x = 39,131,961,124/92,916
  6. Step 6: Final answer
    x = 421,154.17

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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.