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Finding the Third Proportional to 105,841.50 and 226,249.50

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Solution

The third proportional to 105,841.50 and 226,249.50 is: 483,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,841.50 : 226,249.50 = 226,249.50 : x
  2. Step 2: Convert to fraction form
    105,841.50/226,249.50 = 226,249.50/x
  3. Step 3: Cross multiply
    105,841.50x = 226,249.50 × 226,249.50
  4. Step 4: Simplify right side
    105,841.50x = 51,188,836,250.25
  5. Step 5: Solve for x
    x = 51,188,836,250.25/105,841.50
  6. Step 6: Final answer
    x = 483,636.72

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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.