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Finding the Third Proportional to 92,703 and 198,528.75

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Solution

The third proportional to 92,703 and 198,528.75 is: 425,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,703 : 198,528.75 = 198,528.75 : x
  2. Step 2: Convert to fraction form
    92,703/198,528.75 = 198,528.75/x
  3. Step 3: Cross multiply
    92,703x = 198,528.75 × 198,528.75
  4. Step 4: Simplify right side
    92,703x = 39,413,664,576.56
  5. Step 5: Solve for x
    x = 39,413,664,576.56/92,703
  6. Step 6: Final answer
    x = 425,160.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.