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Finding the Third Proportional to 104,140.69 and 224,103.38

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Solution

The third proportional to 104,140.69 and 224,103.38 is: 482,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,140.69 : 224,103.38 = 224,103.38 : x
  2. Step 2: Convert to fraction form
    104,140.69/224,103.38 = 224,103.38/x
  3. Step 3: Cross multiply
    104,140.69x = 224,103.38 × 224,103.38
  4. Step 4: Simplify right side
    104,140.69x = 50,222,322,686.39
  5. Step 5: Solve for x
    x = 50,222,322,686.39/104,140.69
  6. Step 6: Final answer
    x = 482,254.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.