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Finding the Third Proportional to 96,108.40 and 149,194.41

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Solution

The third proportional to 96,108.40 and 149,194.41 is: 231,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,108.40 : 149,194.41 = 149,194.41 : x
  2. Step 2: Convert to fraction form
    96,108.40/149,194.41 = 149,194.41/x
  3. Step 3: Cross multiply
    96,108.40x = 149,194.41 × 149,194.41
  4. Step 4: Simplify right side
    96,108.40x = 22,258,970,856.29
  5. Step 5: Solve for x
    x = 22,258,970,856.29/96,108.40
  6. Step 6: Final answer
    x = 231,602.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.