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Finding the Third Proportional to 49,695.50 and 99,350

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Solution

The third proportional to 49,695.50 and 99,350 is: 198,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,695.50 : 99,350 = 99,350 : x
  2. Step 2: Convert to fraction form
    49,695.50/99,350 = 99,350/x
  3. Step 3: Cross multiply
    49,695.50x = 99,350 × 99,350
  4. Step 4: Simplify right side
    49,695.50x = 9,870,422,500
  5. Step 5: Solve for x
    x = 9,870,422,500/49,695.50
  6. Step 6: Final answer
    x = 198,618.03

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.