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Finding the Third Proportional to 47,931.75 and 104,748.19

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Solution

The third proportional to 47,931.75 and 104,748.19 is: 228,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,931.75 : 104,748.19 = 104,748.19 : x
  2. Step 2: Convert to fraction form
    47,931.75/104,748.19 = 104,748.19/x
  3. Step 3: Cross multiply
    47,931.75x = 104,748.19 × 104,748.19
  4. Step 4: Simplify right side
    47,931.75x = 10,972,182,784.54
  5. Step 5: Solve for x
    x = 10,972,182,784.54/47,931.75
  6. Step 6: Final answer
    x = 228,912.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.