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Finding the Third Proportional to 90,568.50 and 198,633

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Solution

The third proportional to 90,568.50 and 198,633 is: 435,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,568.50 : 198,633 = 198,633 : x
  2. Step 2: Convert to fraction form
    90,568.50/198,633 = 198,633/x
  3. Step 3: Cross multiply
    90,568.50x = 198,633 × 198,633
  4. Step 4: Simplify right side
    90,568.50x = 39,455,068,689
  5. Step 5: Solve for x
    x = 39,455,068,689/90,568.50
  6. Step 6: Final answer
    x = 435,637.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.