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Finding the Third Proportional to 96,023.81 and 148,366.69

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Solution

The third proportional to 96,023.81 and 148,366.69 is: 229,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,023.81 : 148,366.69 = 148,366.69 : x
  2. Step 2: Convert to fraction form
    96,023.81/148,366.69 = 148,366.69/x
  3. Step 3: Cross multiply
    96,023.81x = 148,366.69 × 148,366.69
  4. Step 4: Simplify right side
    96,023.81x = 22,012,673,959.72
  5. Step 5: Solve for x
    x = 22,012,673,959.72/96,023.81
  6. Step 6: Final answer
    x = 229,241.82

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