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Finding the Third Proportional to 92,416 and 198,634

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Solution

The third proportional to 92,416 and 198,634 is: 426,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,416 : 198,634 = 198,634 : x
  2. Step 2: Convert to fraction form
    92,416/198,634 = 198,634/x
  3. Step 3: Cross multiply
    92,416x = 198,634 × 198,634
  4. Step 4: Simplify right side
    92,416x = 39,455,465,956
  5. Step 5: Solve for x
    x = 39,455,465,956/92,416
  6. Step 6: Final answer
    x = 426,933.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.