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Finding the Third Proportional to 47,760.89 and 101,211.40

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Solution

The third proportional to 47,760.89 and 101,211.40 is: 214,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,760.89 : 101,211.40 = 101,211.40 : x
  2. Step 2: Convert to fraction form
    47,760.89/101,211.40 = 101,211.40/x
  3. Step 3: Cross multiply
    47,760.89x = 101,211.40 × 101,211.40
  4. Step 4: Simplify right side
    47,760.89x = 10,243,747,173.67
  5. Step 5: Solve for x
    x = 10,243,747,173.67/47,760.89
  6. Step 6: Final answer
    x = 214,479.82

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