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Finding the Third Proportional to 105,418.50 and 225,903

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Solution

The third proportional to 105,418.50 and 225,903 is: 484,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,418.50 : 225,903 = 225,903 : x
  2. Step 2: Convert to fraction form
    105,418.50/225,903 = 225,903/x
  3. Step 3: Cross multiply
    105,418.50x = 225,903 × 225,903
  4. Step 4: Simplify right side
    105,418.50x = 51,032,165,409
  5. Step 5: Solve for x
    x = 51,032,165,409/105,418.50
  6. Step 6: Final answer
    x = 484,091.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.