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Finding the Third Proportional to 47,233 and 99,797.75

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Solution

The third proportional to 47,233 and 99,797.75 is: 210,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233 : 99,797.75 = 99,797.75 : x
  2. Step 2: Convert to fraction form
    47,233/99,797.75 = 99,797.75/x
  3. Step 3: Cross multiply
    47,233x = 99,797.75 × 99,797.75
  4. Step 4: Simplify right side
    47,233x = 9,959,590,905.06
  5. Step 5: Solve for x
    x = 9,959,590,905.06/47,233
  6. Step 6: Final answer
    x = 210,860.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.