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Finding the Third Proportional to 96,630.75 and 144,498.38

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Solution

The third proportional to 96,630.75 and 144,498.38 is: 216,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,630.75 : 144,498.38 = 144,498.38 : x
  2. Step 2: Convert to fraction form
    96,630.75/144,498.38 = 144,498.38/x
  3. Step 3: Cross multiply
    96,630.75x = 144,498.38 × 144,498.38
  4. Step 4: Simplify right side
    96,630.75x = 20,879,780,377.64
  5. Step 5: Solve for x
    x = 20,879,780,377.64/96,630.75
  6. Step 6: Final answer
    x = 216,078.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.