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Finding the Third Proportional to 47,797.31 and 105,031.69

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Solution

The third proportional to 47,797.31 and 105,031.69 is: 230,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.31 : 105,031.69 = 105,031.69 : x
  2. Step 2: Convert to fraction form
    47,797.31/105,031.69 = 105,031.69/x
  3. Step 3: Cross multiply
    47,797.31x = 105,031.69 × 105,031.69
  4. Step 4: Simplify right side
    47,797.31x = 11,031,655,379.10
  5. Step 5: Solve for x
    x = 11,031,655,379.10/47,797.31
  6. Step 6: Final answer
    x = 230,800.75

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