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Finding the Third Proportional to 104,221.69 and 224,520.19

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Solution

The third proportional to 104,221.69 and 224,520.19 is: 483,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,221.69 : 224,520.19 = 224,520.19 : x
  2. Step 2: Convert to fraction form
    104,221.69/224,520.19 = 224,520.19/x
  3. Step 3: Cross multiply
    104,221.69x = 224,520.19 × 224,520.19
  4. Step 4: Simplify right side
    104,221.69x = 50,409,314,595.04
  5. Step 5: Solve for x
    x = 50,409,314,595.04/104,221.69
  6. Step 6: Final answer
    x = 483,673.94

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Why These Related Problems?

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