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Finding the Third Proportional to 92,833.50 and 198,195

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Solution

The third proportional to 92,833.50 and 198,195 is: 423,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,833.50 : 198,195 = 198,195 : x
  2. Step 2: Convert to fraction form
    92,833.50/198,195 = 198,195/x
  3. Step 3: Cross multiply
    92,833.50x = 198,195 × 198,195
  4. Step 4: Simplify right side
    92,833.50x = 39,281,258,025
  5. Step 5: Solve for x
    x = 39,281,258,025/92,833.50
  6. Step 6: Final answer
    x = 423,136.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.