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Finding the Third Proportional to 99,772.03 and 216,766.69

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Solution

The third proportional to 99,772.03 and 216,766.69 is: 470,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,772.03 : 216,766.69 = 216,766.69 : x
  2. Step 2: Convert to fraction form
    99,772.03/216,766.69 = 216,766.69/x
  3. Step 3: Cross multiply
    99,772.03x = 216,766.69 × 216,766.69
  4. Step 4: Simplify right side
    99,772.03x = 46,987,796,809.72
  5. Step 5: Solve for x
    x = 46,987,796,809.72/99,772.03
  6. Step 6: Final answer
    x = 470,951.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.