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Finding the Third Proportional to 33,314.63 and 90,186.75

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Solution

The third proportional to 33,314.63 and 90,186.75 is: 244,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,314.63 : 90,186.75 = 90,186.75 : x
  2. Step 2: Convert to fraction form
    33,314.63/90,186.75 = 90,186.75/x
  3. Step 3: Cross multiply
    33,314.63x = 90,186.75 × 90,186.75
  4. Step 4: Simplify right side
    33,314.63x = 8,133,649,875.56
  5. Step 5: Solve for x
    x = 8,133,649,875.56/33,314.63
  6. Step 6: Final answer
    x = 244,146.52

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These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.