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Finding the Third Proportional to 96,308.44 and 148,221.56

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Solution

The third proportional to 96,308.44 and 148,221.56 is: 228,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,308.44 : 148,221.56 = 148,221.56 : x
  2. Step 2: Convert to fraction form
    96,308.44/148,221.56 = 148,221.56/x
  3. Step 3: Cross multiply
    96,308.44x = 148,221.56 × 148,221.56
  4. Step 4: Simplify right side
    96,308.44x = 21,969,631,589.94
  5. Step 5: Solve for x
    x = 21,969,631,589.94/96,308.44
  6. Step 6: Final answer
    x = 228,117.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.