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Finding the Third Proportional to 47,908.55 and 100,782.56

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Solution

The third proportional to 47,908.55 and 100,782.56 is: 212,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,908.55 : 100,782.56 = 100,782.56 : x
  2. Step 2: Convert to fraction form
    47,908.55/100,782.56 = 100,782.56/x
  3. Step 3: Cross multiply
    47,908.55x = 100,782.56 × 100,782.56
  4. Step 4: Simplify right side
    47,908.55x = 10,157,124,904.07
  5. Step 5: Solve for x
    x = 10,157,124,904.07/47,908.55
  6. Step 6: Final answer
    x = 212,010.71

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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.