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Finding the Third Proportional to 43,677.14 and 93,583.05

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Solution

The third proportional to 43,677.14 and 93,583.05 is: 200,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,677.14 : 93,583.05 = 93,583.05 : x
  2. Step 2: Convert to fraction form
    43,677.14/93,583.05 = 93,583.05/x
  3. Step 3: Cross multiply
    43,677.14x = 93,583.05 × 93,583.05
  4. Step 4: Simplify right side
    43,677.14x = 8,757,788,124.64
  5. Step 5: Solve for x
    x = 8,757,788,124.64/43,677.14
  6. Step 6: Final answer
    x = 200,511.94

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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.