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Finding the Third Proportional to 47,404.13 and 109,464.75

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Solution

The third proportional to 47,404.13 and 109,464.75 is: 252,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404.13 : 109,464.75 = 109,464.75 : x
  2. Step 2: Convert to fraction form
    47,404.13/109,464.75 = 109,464.75/x
  3. Step 3: Cross multiply
    47,404.13x = 109,464.75 × 109,464.75
  4. Step 4: Simplify right side
    47,404.13x = 11,982,531,492.56
  5. Step 5: Solve for x
    x = 11,982,531,492.56/47,404.13
  6. Step 6: Final answer
    x = 252,774.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.