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Finding the Third Proportional to 99,777 and 150,702.75

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Solution

The third proportional to 99,777 and 150,702.75 is: 227,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,777 : 150,702.75 = 150,702.75 : x
  2. Step 2: Convert to fraction form
    99,777/150,702.75 = 150,702.75/x
  3. Step 3: Cross multiply
    99,777x = 150,702.75 × 150,702.75
  4. Step 4: Simplify right side
    99,777x = 22,711,318,857.56
  5. Step 5: Solve for x
    x = 22,711,318,857.56/99,777
  6. Step 6: Final answer
    x = 227,620.78

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