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Finding the Third Proportional to 44,633 and 93,644

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Solution

The third proportional to 44,633 and 93,644 is: 196,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,633 : 93,644 = 93,644 : x
  2. Step 2: Convert to fraction form
    44,633/93,644 = 93,644/x
  3. Step 3: Cross multiply
    44,633x = 93,644 × 93,644
  4. Step 4: Simplify right side
    44,633x = 8,769,198,736
  5. Step 5: Solve for x
    x = 8,769,198,736/44,633
  6. Step 6: Final answer
    x = 196,473.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.