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Finding the Third Proportional to 99,813.75 and 150,759.75

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Solution

The third proportional to 99,813.75 and 150,759.75 is: 227,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813.75 : 150,759.75 = 150,759.75 : x
  2. Step 2: Convert to fraction form
    99,813.75/150,759.75 = 150,759.75/x
  3. Step 3: Cross multiply
    99,813.75x = 150,759.75 × 150,759.75
  4. Step 4: Simplify right side
    99,813.75x = 22,728,502,220.06
  5. Step 5: Solve for x
    x = 22,728,502,220.06/99,813.75
  6. Step 6: Final answer
    x = 227,709.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.