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Finding the Third Proportional to 99,713 and 149,230

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Solution

The third proportional to 99,713 and 149,230 is: 223,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,713 : 149,230 = 149,230 : x
  2. Step 2: Convert to fraction form
    99,713/149,230 = 149,230/x
  3. Step 3: Cross multiply
    99,713x = 149,230 × 149,230
  4. Step 4: Simplify right side
    99,713x = 22,269,592,900
  5. Step 5: Solve for x
    x = 22,269,592,900/99,713
  6. Step 6: Final answer
    x = 223,336.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.