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Finding the Third Proportional to 43,677.42 and 93,583.69

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Solution

The third proportional to 43,677.42 and 93,583.69 is: 200,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,677.42 : 93,583.69 = 93,583.69 : x
  2. Step 2: Convert to fraction form
    43,677.42/93,583.69 = 93,583.69/x
  3. Step 3: Cross multiply
    43,677.42x = 93,583.69 × 93,583.69
  4. Step 4: Simplify right side
    43,677.42x = 8,757,906,566.10
  5. Step 5: Solve for x
    x = 8,757,906,566.10/43,677.42
  6. Step 6: Final answer
    x = 200,513.36

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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.