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Finding the Third Proportional to 104,005.69 and 224,601.19

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Solution

The third proportional to 104,005.69 and 224,601.19 is: 485,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,005.69 : 224,601.19 = 224,601.19 : x
  2. Step 2: Convert to fraction form
    104,005.69/224,601.19 = 224,601.19/x
  3. Step 3: Cross multiply
    104,005.69x = 224,601.19 × 224,601.19
  4. Step 4: Simplify right side
    104,005.69x = 50,445,693,426.41
  5. Step 5: Solve for x
    x = 50,445,693,426.41/104,005.69
  6. Step 6: Final answer
    x = 485,028.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.