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Finding the Third Proportional to 103,469.63 and 227,260.13

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Solution

The third proportional to 103,469.63 and 227,260.13 is: 499,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,469.63 : 227,260.13 = 227,260.13 : x
  2. Step 2: Convert to fraction form
    103,469.63/227,260.13 = 227,260.13/x
  3. Step 3: Cross multiply
    103,469.63x = 227,260.13 × 227,260.13
  4. Step 4: Simplify right side
    103,469.63x = 51,647,164,415.02
  5. Step 5: Solve for x
    x = 51,647,164,415.02/103,469.63
  6. Step 6: Final answer
    x = 499,152.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.