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Finding the Third Proportional to 102,770.75 and 224,167.75

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Solution

The third proportional to 102,770.75 and 224,167.75 is: 488,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,770.75 : 224,167.75 = 224,167.75 : x
  2. Step 2: Convert to fraction form
    102,770.75/224,167.75 = 224,167.75/x
  3. Step 3: Cross multiply
    102,770.75x = 224,167.75 × 224,167.75
  4. Step 4: Simplify right side
    102,770.75x = 50,251,180,140.06
  5. Step 5: Solve for x
    x = 50,251,180,140.06/102,770.75
  6. Step 6: Final answer
    x = 488,963.84

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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.