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Finding the Third Proportional to 133,313.06 and 188,633.06

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Solution

The third proportional to 133,313.06 and 188,633.06 is: 266,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,313.06 : 188,633.06 = 188,633.06 : x
  2. Step 2: Convert to fraction form
    133,313.06/188,633.06 = 188,633.06/x
  3. Step 3: Cross multiply
    133,313.06x = 188,633.06 × 188,633.06
  4. Step 4: Simplify right side
    133,313.06x = 35,582,432,268.13
  5. Step 5: Solve for x
    x = 35,582,432,268.13/133,313.06
  6. Step 6: Final answer
    x = 266,908.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.