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Finding the Third Proportional to 99,816.75 and 150,762.75

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Solution

The third proportional to 99,816.75 and 150,762.75 is: 227,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,816.75 : 150,762.75 = 150,762.75 : x
  2. Step 2: Convert to fraction form
    99,816.75/150,762.75 = 150,762.75/x
  3. Step 3: Cross multiply
    99,816.75x = 150,762.75 × 150,762.75
  4. Step 4: Simplify right side
    99,816.75x = 22,729,406,787.56
  5. Step 5: Solve for x
    x = 22,729,406,787.56/99,816.75
  6. Step 6: Final answer
    x = 227,711.35

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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.