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Finding the Third Proportional to 99,845 and 151,817

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Solution

The third proportional to 99,845 and 151,817 is: 230,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,845 : 151,817 = 151,817 : x
  2. Step 2: Convert to fraction form
    99,845/151,817 = 151,817/x
  3. Step 3: Cross multiply
    99,845x = 151,817 × 151,817
  4. Step 4: Simplify right side
    99,845x = 23,048,401,489
  5. Step 5: Solve for x
    x = 23,048,401,489/99,845
  6. Step 6: Final answer
    x = 230,841.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.