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Finding the Third Proportional to 92,428.59 and 198,867.66

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Solution

The third proportional to 92,428.59 and 198,867.66 is: 427,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,428.59 : 198,867.66 = 198,867.66 : x
  2. Step 2: Convert to fraction form
    92,428.59/198,867.66 = 198,867.66/x
  3. Step 3: Cross multiply
    92,428.59x = 198,867.66 × 198,867.66
  4. Step 4: Simplify right side
    92,428.59x = 39,548,344,702.37
  5. Step 5: Solve for x
    x = 39,548,344,702.37/92,428.59
  6. Step 6: Final answer
    x = 427,879.98

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