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Finding the Third Proportional to 47,742.33 and 103,698.98

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Solution

The third proportional to 47,742.33 and 103,698.98 is: 225,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,742.33 : 103,698.98 = 103,698.98 : x
  2. Step 2: Convert to fraction form
    47,742.33/103,698.98 = 103,698.98/x
  3. Step 3: Cross multiply
    47,742.33x = 103,698.98 × 103,698.98
  4. Step 4: Simplify right side
    47,742.33x = 10,753,479,360.41
  5. Step 5: Solve for x
    x = 10,753,479,360.41/47,742.33
  6. Step 6: Final answer
    x = 225,239.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.