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Finding the Third Proportional to 47,718.50 and 107,809.25

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Solution

The third proportional to 47,718.50 and 107,809.25 is: 243,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718.50 : 107,809.25 = 107,809.25 : x
  2. Step 2: Convert to fraction form
    47,718.50/107,809.25 = 107,809.25/x
  3. Step 3: Cross multiply
    47,718.50x = 107,809.25 × 107,809.25
  4. Step 4: Simplify right side
    47,718.50x = 11,622,834,385.56
  5. Step 5: Solve for x
    x = 11,622,834,385.56/47,718.50
  6. Step 6: Final answer
    x = 243,570.82

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.