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Finding the Third Proportional to 92,936 and 197,860

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Solution

The third proportional to 92,936 and 197,860 is: 421,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,936 : 197,860 = 197,860 : x
  2. Step 2: Convert to fraction form
    92,936/197,860 = 197,860/x
  3. Step 3: Cross multiply
    92,936x = 197,860 × 197,860
  4. Step 4: Simplify right side
    92,936x = 39,148,579,600
  5. Step 5: Solve for x
    x = 39,148,579,600/92,936
  6. Step 6: Final answer
    x = 421,242.36

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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.