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Finding the Third Proportional to 45,811 and 99,456

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Solution

The third proportional to 45,811 and 99,456 is: 215,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,811 : 99,456 = 99,456 : x
  2. Step 2: Convert to fraction form
    45,811/99,456 = 99,456/x
  3. Step 3: Cross multiply
    45,811x = 99,456 × 99,456
  4. Step 4: Simplify right side
    45,811x = 9,891,495,936
  5. Step 5: Solve for x
    x = 9,891,495,936/45,811
  6. Step 6: Final answer
    x = 215,919.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.