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Finding the Third Proportional to 100,203.75 and 133,844.06

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Solution

The third proportional to 100,203.75 and 133,844.06 is: 178,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203.75 : 133,844.06 = 133,844.06 : x
  2. Step 2: Convert to fraction form
    100,203.75/133,844.06 = 133,844.06/x
  3. Step 3: Cross multiply
    100,203.75x = 133,844.06 × 133,844.06
  4. Step 4: Simplify right side
    100,203.75x = 17,914,233,066.50
  5. Step 5: Solve for x
    x = 17,914,233,066.50/100,203.75
  6. Step 6: Final answer
    x = 178,778.07

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.