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Finding the Third Proportional to 45,811 and 99,454

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Solution

The third proportional to 45,811 and 99,454 is: 215,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,811 : 99,454 = 99,454 : x
  2. Step 2: Convert to fraction form
    45,811/99,454 = 99,454/x
  3. Step 3: Cross multiply
    45,811x = 99,454 × 99,454
  4. Step 4: Simplify right side
    45,811x = 9,891,098,116
  5. Step 5: Solve for x
    x = 9,891,098,116/45,811
  6. Step 6: Final answer
    x = 215,910.98

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Why These Related Problems?

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