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Finding the Third Proportional to 47,914.03 and 100,793.53

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Solution

The third proportional to 47,914.03 and 100,793.53 is: 212,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,914.03 : 100,793.53 = 100,793.53 : x
  2. Step 2: Convert to fraction form
    47,914.03/100,793.53 = 100,793.53/x
  3. Step 3: Cross multiply
    47,914.03x = 100,793.53 × 100,793.53
  4. Step 4: Simplify right side
    47,914.03x = 10,159,335,941.84
  5. Step 5: Solve for x
    x = 10,159,335,941.84/47,914.03
  6. Step 6: Final answer
    x = 212,032.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.