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Finding the Third Proportional to 105,454.41 and 230,198.84

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Solution

The third proportional to 105,454.41 and 230,198.84 is: 502,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,454.41 : 230,198.84 = 230,198.84 : x
  2. Step 2: Convert to fraction form
    105,454.41/230,198.84 = 230,198.84/x
  3. Step 3: Cross multiply
    105,454.41x = 230,198.84 × 230,198.84
  4. Step 4: Simplify right side
    105,454.41x = 52,991,504,066.98
  5. Step 5: Solve for x
    x = 52,991,504,066.98/105,454.41
  6. Step 6: Final answer
    x = 502,506.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.