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Finding the Third Proportional to 45,388.50 and 99,736

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Solution

The third proportional to 45,388.50 and 99,736 is: 219,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388.50 : 99,736 = 99,736 : x
  2. Step 2: Convert to fraction form
    45,388.50/99,736 = 99,736/x
  3. Step 3: Cross multiply
    45,388.50x = 99,736 × 99,736
  4. Step 4: Simplify right side
    45,388.50x = 9,947,269,696
  5. Step 5: Solve for x
    x = 9,947,269,696/45,388.50
  6. Step 6: Final answer
    x = 219,158.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.