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Finding the Third Proportional to 99,786.75 and 214,335.75

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Solution

The third proportional to 99,786.75 and 214,335.75 is: 460,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,786.75 : 214,335.75 = 214,335.75 : x
  2. Step 2: Convert to fraction form
    99,786.75/214,335.75 = 214,335.75/x
  3. Step 3: Cross multiply
    99,786.75x = 214,335.75 × 214,335.75
  4. Step 4: Simplify right side
    99,786.75x = 45,939,813,728.06
  5. Step 5: Solve for x
    x = 45,939,813,728.06/99,786.75
  6. Step 6: Final answer
    x = 460,379.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.