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Finding the Third Proportional to 104,857.03 and 224,407.97

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Solution

The third proportional to 104,857.03 and 224,407.97 is: 480,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,857.03 : 224,407.97 = 224,407.97 : x
  2. Step 2: Convert to fraction form
    104,857.03/224,407.97 = 224,407.97/x
  3. Step 3: Cross multiply
    104,857.03x = 224,407.97 × 224,407.97
  4. Step 4: Simplify right side
    104,857.03x = 50,358,936,438.50
  5. Step 5: Solve for x
    x = 50,358,936,438.50/104,857.03
  6. Step 6: Final answer
    x = 480,262.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.