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Finding the Third Proportional to 94,232.06 and 203,226.56

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Solution

The third proportional to 94,232.06 and 203,226.56 is: 438,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,232.06 : 203,226.56 = 203,226.56 : x
  2. Step 2: Convert to fraction form
    94,232.06/203,226.56 = 203,226.56/x
  3. Step 3: Cross multiply
    94,232.06x = 203,226.56 × 203,226.56
  4. Step 4: Simplify right side
    94,232.06x = 41,301,035,705.57
  5. Step 5: Solve for x
    x = 41,301,035,705.57/94,232.06
  6. Step 6: Final answer
    x = 438,290.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.