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Finding the Third Proportional to 99,780.75 and 214,323.75

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Solution

The third proportional to 99,780.75 and 214,323.75 is: 460,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780.75 : 214,323.75 = 214,323.75 : x
  2. Step 2: Convert to fraction form
    99,780.75/214,323.75 = 214,323.75/x
  3. Step 3: Cross multiply
    99,780.75x = 214,323.75 × 214,323.75
  4. Step 4: Simplify right side
    99,780.75x = 45,934,669,814.06
  5. Step 5: Solve for x
    x = 45,934,669,814.06/99,780.75
  6. Step 6: Final answer
    x = 460,356.03

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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.