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Finding the Third Proportional to 49,288.50 and 105,968.25

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Solution

The third proportional to 49,288.50 and 105,968.25 is: 227,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,288.50 : 105,968.25 = 105,968.25 : x
  2. Step 2: Convert to fraction form
    49,288.50/105,968.25 = 105,968.25/x
  3. Step 3: Cross multiply
    49,288.50x = 105,968.25 × 105,968.25
  4. Step 4: Simplify right side
    49,288.50x = 11,229,270,008.06
  5. Step 5: Solve for x
    x = 11,229,270,008.06/49,288.50
  6. Step 6: Final answer
    x = 227,827.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.