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Finding the Third Proportional to 47,416.50 and 109,489.50

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Solution

The third proportional to 47,416.50 and 109,489.50 is: 252,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,416.50 : 109,489.50 = 109,489.50 : x
  2. Step 2: Convert to fraction form
    47,416.50/109,489.50 = 109,489.50/x
  3. Step 3: Cross multiply
    47,416.50x = 109,489.50 × 109,489.50
  4. Step 4: Simplify right side
    47,416.50x = 11,987,950,610.25
  5. Step 5: Solve for x
    x = 11,987,950,610.25/47,416.50
  6. Step 6: Final answer
    x = 252,822.34

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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.