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Finding the Third Proportional to 47,212.88 and 101,442.75

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Solution

The third proportional to 47,212.88 and 101,442.75 is: 217,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,212.88 : 101,442.75 = 101,442.75 : x
  2. Step 2: Convert to fraction form
    47,212.88/101,442.75 = 101,442.75/x
  3. Step 3: Cross multiply
    47,212.88x = 101,442.75 × 101,442.75
  4. Step 4: Simplify right side
    47,212.88x = 10,290,631,527.56
  5. Step 5: Solve for x
    x = 10,290,631,527.56/47,212.88
  6. Step 6: Final answer
    x = 217,962.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.