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Finding the Third Proportional to 47,086.50 and 101,643

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Solution

The third proportional to 47,086.50 and 101,643 is: 219,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,086.50 : 101,643 = 101,643 : x
  2. Step 2: Convert to fraction form
    47,086.50/101,643 = 101,643/x
  3. Step 3: Cross multiply
    47,086.50x = 101,643 × 101,643
  4. Step 4: Simplify right side
    47,086.50x = 10,331,299,449
  5. Step 5: Solve for x
    x = 10,331,299,449/47,086.50
  6. Step 6: Final answer
    x = 219,411.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.