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Finding the Third Proportional to 99,116.72 and 159,593.06

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Solution

The third proportional to 99,116.72 and 159,593.06 is: 256,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,116.72 : 159,593.06 = 159,593.06 : x
  2. Step 2: Convert to fraction form
    99,116.72/159,593.06 = 159,593.06/x
  3. Step 3: Cross multiply
    99,116.72x = 159,593.06 × 159,593.06
  4. Step 4: Simplify right side
    99,116.72x = 25,469,945,598.13
  5. Step 5: Solve for x
    x = 25,469,945,598.13/99,116.72
  6. Step 6: Final answer
    x = 256,969.22

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.