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Finding the Third Proportional to 47,959.50 and 105,436.50

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Solution

The third proportional to 47,959.50 and 105,436.50 is: 231,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,959.50 : 105,436.50 = 105,436.50 : x
  2. Step 2: Convert to fraction form
    47,959.50/105,436.50 = 105,436.50/x
  3. Step 3: Cross multiply
    47,959.50x = 105,436.50 × 105,436.50
  4. Step 4: Simplify right side
    47,959.50x = 11,116,855,532.25
  5. Step 5: Solve for x
    x = 11,116,855,532.25/47,959.50
  6. Step 6: Final answer
    x = 231,796.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.