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Finding the Third Proportional to 102,881.81 and 224,616.38

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Solution

The third proportional to 102,881.81 and 224,616.38 is: 490,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,881.81 : 224,616.38 = 224,616.38 : x
  2. Step 2: Convert to fraction form
    102,881.81/224,616.38 = 224,616.38/x
  3. Step 3: Cross multiply
    102,881.81x = 224,616.38 × 224,616.38
  4. Step 4: Simplify right side
    102,881.81x = 50,452,515,918.14
  5. Step 5: Solve for x
    x = 50,452,515,918.14/102,881.81
  6. Step 6: Final answer
    x = 490,392.95

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Why These Related Problems?

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