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Finding the Third Proportional to 43,456.50 and 91,583.16

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Solution

The third proportional to 43,456.50 and 91,583.16 is: 193,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,456.50 : 91,583.16 = 91,583.16 : x
  2. Step 2: Convert to fraction form
    43,456.50/91,583.16 = 91,583.16/x
  3. Step 3: Cross multiply
    43,456.50x = 91,583.16 × 91,583.16
  4. Step 4: Simplify right side
    43,456.50x = 8,387,474,508.71
  5. Step 5: Solve for x
    x = 8,387,474,508.71/43,456.50
  6. Step 6: Final answer
    x = 193,008.51

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.