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Finding the Third Proportional to 92,764 and 198,645

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Solution

The third proportional to 92,764 and 198,645 is: 425,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,764 : 198,645 = 198,645 : x
  2. Step 2: Convert to fraction form
    92,764/198,645 = 198,645/x
  3. Step 3: Cross multiply
    92,764x = 198,645 × 198,645
  4. Step 4: Simplify right side
    92,764x = 39,459,836,025
  5. Step 5: Solve for x
    x = 39,459,836,025/92,764
  6. Step 6: Final answer
    x = 425,378.77

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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.