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Finding the Third Proportional to 47,342.63 and 101,838

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Solution

The third proportional to 47,342.63 and 101,838 is: 219,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342.63 : 101,838 = 101,838 : x
  2. Step 2: Convert to fraction form
    47,342.63/101,838 = 101,838/x
  3. Step 3: Cross multiply
    47,342.63x = 101,838 × 101,838
  4. Step 4: Simplify right side
    47,342.63x = 10,370,978,244
  5. Step 5: Solve for x
    x = 10,370,978,244/47,342.63
  6. Step 6: Final answer
    x = 219,062.17

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