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Finding the Third Proportional to 47,814 and 99,564

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Solution

The third proportional to 47,814 and 99,564 is: 207,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,814 : 99,564 = 99,564 : x
  2. Step 2: Convert to fraction form
    47,814/99,564 = 99,564/x
  3. Step 3: Cross multiply
    47,814x = 99,564 × 99,564
  4. Step 4: Simplify right side
    47,814x = 9,912,990,096
  5. Step 5: Solve for x
    x = 9,912,990,096/47,814
  6. Step 6: Final answer
    x = 207,324.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.