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Finding the Third Proportional to 108,723.73 and 224,905.46

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Solution

The third proportional to 108,723.73 and 224,905.46 is: 465,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,723.73 : 224,905.46 = 224,905.46 : x
  2. Step 2: Convert to fraction form
    108,723.73/224,905.46 = 224,905.46/x
  3. Step 3: Cross multiply
    108,723.73x = 224,905.46 × 224,905.46
  4. Step 4: Simplify right side
    108,723.73x = 50,582,468,116.58
  5. Step 5: Solve for x
    x = 50,582,468,116.58/108,723.73
  6. Step 6: Final answer
    x = 465,238.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.