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Finding the Third Proportional to 96,194.25 and 148,073.06

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Solution

The third proportional to 96,194.25 and 148,073.06 is: 227,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,194.25 : 148,073.06 = 148,073.06 : x
  2. Step 2: Convert to fraction form
    96,194.25/148,073.06 = 148,073.06/x
  3. Step 3: Cross multiply
    96,194.25x = 148,073.06 × 148,073.06
  4. Step 4: Simplify right side
    96,194.25x = 21,925,631,838.13
  5. Step 5: Solve for x
    x = 21,925,631,838.13/96,194.25
  6. Step 6: Final answer
    x = 227,930.79

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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.