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Finding the Third Proportional to 46,171.31 and 101,100.56

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Solution

The third proportional to 46,171.31 and 101,100.56 is: 221,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,171.31 : 101,100.56 = 101,100.56 : x
  2. Step 2: Convert to fraction form
    46,171.31/101,100.56 = 101,100.56/x
  3. Step 3: Cross multiply
    46,171.31x = 101,100.56 × 101,100.56
  4. Step 4: Simplify right side
    46,171.31x = 10,221,323,737.82
  5. Step 5: Solve for x
    x = 10,221,323,737.82/46,171.31
  6. Step 6: Final answer
    x = 221,378.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.