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Finding the Third Proportional to 47,920 and 100,803

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Solution

The third proportional to 47,920 and 100,803 is: 212,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,920 : 100,803 = 100,803 : x
  2. Step 2: Convert to fraction form
    47,920/100,803 = 100,803/x
  3. Step 3: Cross multiply
    47,920x = 100,803 × 100,803
  4. Step 4: Simplify right side
    47,920x = 10,161,244,809
  5. Step 5: Solve for x
    x = 10,161,244,809/47,920
  6. Step 6: Final answer
    x = 212,046.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.