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Finding the Third Proportional to 47,200.50 and 104,890.50

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Solution

The third proportional to 47,200.50 and 104,890.50 is: 233,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200.50 : 104,890.50 = 104,890.50 : x
  2. Step 2: Convert to fraction form
    47,200.50/104,890.50 = 104,890.50/x
  3. Step 3: Cross multiply
    47,200.50x = 104,890.50 × 104,890.50
  4. Step 4: Simplify right side
    47,200.50x = 11,002,016,990.25
  5. Step 5: Solve for x
    x = 11,002,016,990.25/47,200.50
  6. Step 6: Final answer
    x = 233,091.11

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.