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Finding the Third Proportional to 47,363.50 and 104,609

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Solution

The third proportional to 47,363.50 and 104,609 is: 231,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,363.50 : 104,609 = 104,609 : x
  2. Step 2: Convert to fraction form
    47,363.50/104,609 = 104,609/x
  3. Step 3: Cross multiply
    47,363.50x = 104,609 × 104,609
  4. Step 4: Simplify right side
    47,363.50x = 10,943,042,881
  5. Step 5: Solve for x
    x = 10,943,042,881/47,363.50
  6. Step 6: Final answer
    x = 231,043.80

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.