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Finding the Third Proportional to 99,810 and 150,749

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Solution

The third proportional to 99,810 and 150,749 is: 227,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810 : 150,749 = 150,749 : x
  2. Step 2: Convert to fraction form
    99,810/150,749 = 150,749/x
  3. Step 3: Cross multiply
    99,810x = 150,749 × 150,749
  4. Step 4: Simplify right side
    99,810x = 22,725,261,001
  5. Step 5: Solve for x
    x = 22,725,261,001/99,810
  6. Step 6: Final answer
    x = 227,685.21

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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.