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Finding the Third Proportional to 102,768.56 and 224,163.75

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Solution

The third proportional to 102,768.56 and 224,163.75 is: 488,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,768.56 : 224,163.75 = 224,163.75 : x
  2. Step 2: Convert to fraction form
    102,768.56/224,163.75 = 224,163.75/x
  3. Step 3: Cross multiply
    102,768.56x = 224,163.75 × 224,163.75
  4. Step 4: Simplify right side
    102,768.56x = 50,249,386,814.06
  5. Step 5: Solve for x
    x = 50,249,386,814.06/102,768.56
  6. Step 6: Final answer
    x = 488,956.79

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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.