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Finding the Third Proportional to 123,633.84 and 222,663.94

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Solution

The third proportional to 123,633.84 and 222,663.94 is: 401,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,633.84 : 222,663.94 = 222,663.94 : x
  2. Step 2: Convert to fraction form
    123,633.84/222,663.94 = 222,663.94/x
  3. Step 3: Cross multiply
    123,633.84x = 222,663.94 × 222,663.94
  4. Step 4: Simplify right side
    123,633.84x = 49,579,229,063.00
  5. Step 5: Solve for x
    x = 49,579,229,063.00/123,633.84
  6. Step 6: Final answer
    x = 401,016.64

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.