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Finding the Third Proportional to 96,911.44 and 148,921.03

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Solution

The third proportional to 96,911.44 and 148,921.03 is: 228,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,911.44 : 148,921.03 = 148,921.03 : x
  2. Step 2: Convert to fraction form
    96,911.44/148,921.03 = 148,921.03/x
  3. Step 3: Cross multiply
    96,911.44x = 148,921.03 × 148,921.03
  4. Step 4: Simplify right side
    96,911.44x = 22,177,473,548.56
  5. Step 5: Solve for x
    x = 22,177,473,548.56/96,911.44
  6. Step 6: Final answer
    x = 228,842.68

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Why These Related Problems?

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