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Finding the Third Proportional to 47,343.23 and 109,610.09

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Solution

The third proportional to 47,343.23 and 109,610.09 is: 253,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,343.23 : 109,610.09 = 109,610.09 : x
  2. Step 2: Convert to fraction form
    47,343.23/109,610.09 = 109,610.09/x
  3. Step 3: Cross multiply
    47,343.23x = 109,610.09 × 109,610.09
  4. Step 4: Simplify right side
    47,343.23x = 12,014,370,939.23
  5. Step 5: Solve for x
    x = 12,014,370,939.23/47,343.23
  6. Step 6: Final answer
    x = 253,771.65

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.