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Finding the Third Proportional to 92,787 and 198,690

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Solution

The third proportional to 92,787 and 198,690 is: 425,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,787 : 198,690 = 198,690 : x
  2. Step 2: Convert to fraction form
    92,787/198,690 = 198,690/x
  3. Step 3: Cross multiply
    92,787x = 198,690 × 198,690
  4. Step 4: Simplify right side
    92,787x = 39,477,716,100
  5. Step 5: Solve for x
    x = 39,477,716,100/92,787
  6. Step 6: Final answer
    x = 425,466.03

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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.