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Finding the Third Proportional to 106,049.06 and 227,276.06

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Solution

The third proportional to 106,049.06 and 227,276.06 is: 487,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,049.06 : 227,276.06 = 227,276.06 : x
  2. Step 2: Convert to fraction form
    106,049.06/227,276.06 = 227,276.06/x
  3. Step 3: Cross multiply
    106,049.06x = 227,276.06 × 227,276.06
  4. Step 4: Simplify right side
    106,049.06x = 51,654,408,585.50
  5. Step 5: Solve for x
    x = 51,654,408,585.50/106,049.06
  6. Step 6: Final answer
    x = 487,080.29

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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.