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Finding the Third Proportional to 47,643.19 and 101,611.97

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Solution

The third proportional to 47,643.19 and 101,611.97 is: 216,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.19 : 101,611.97 = 101,611.97 : x
  2. Step 2: Convert to fraction form
    47,643.19/101,611.97 = 101,611.97/x
  3. Step 3: Cross multiply
    47,643.19x = 101,611.97 × 101,611.97
  4. Step 4: Simplify right side
    47,643.19x = 10,324,992,193.25
  5. Step 5: Solve for x
    x = 10,324,992,193.25/47,643.19
  6. Step 6: Final answer
    x = 216,714.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.