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Finding the Third Proportional to 47,747.06 and 101,185.84

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Solution

The third proportional to 47,747.06 and 101,185.84 is: 214,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,747.06 : 101,185.84 = 101,185.84 : x
  2. Step 2: Convert to fraction form
    47,747.06/101,185.84 = 101,185.84/x
  3. Step 3: Cross multiply
    47,747.06x = 101,185.84 × 101,185.84
  4. Step 4: Simplify right side
    47,747.06x = 10,238,574,975.40
  5. Step 5: Solve for x
    x = 10,238,574,975.40/47,747.06
  6. Step 6: Final answer
    x = 214,433.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.