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Finding the Third Proportional to 99,813 and 204,282.75

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Solution

The third proportional to 99,813 and 204,282.75 is: 418,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813 : 204,282.75 = 204,282.75 : x
  2. Step 2: Convert to fraction form
    99,813/204,282.75 = 204,282.75/x
  3. Step 3: Cross multiply
    99,813x = 204,282.75 × 204,282.75
  4. Step 4: Simplify right side
    99,813x = 41,731,441,947.56
  5. Step 5: Solve for x
    x = 41,731,441,947.56/99,813
  6. Step 6: Final answer
    x = 418,096.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.