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Finding the Third Proportional to 43,651.83 and 93,529.27

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Solution

The third proportional to 43,651.83 and 93,529.27 is: 200,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,651.83 : 93,529.27 = 93,529.27 : x
  2. Step 2: Convert to fraction form
    43,651.83/93,529.27 = 93,529.27/x
  3. Step 3: Cross multiply
    43,651.83x = 93,529.27 × 93,529.27
  4. Step 4: Simplify right side
    43,651.83x = 8,747,723,528.35
  5. Step 5: Solve for x
    x = 8,747,723,528.35/43,651.83
  6. Step 6: Final answer
    x = 200,397.64

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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.