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Finding the Third Proportional to 49,226 and 108,290

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Solution

The third proportional to 49,226 and 108,290 is: 238,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,226 : 108,290 = 108,290 : x
  2. Step 2: Convert to fraction form
    49,226/108,290 = 108,290/x
  3. Step 3: Cross multiply
    49,226x = 108,290 × 108,290
  4. Step 4: Simplify right side
    49,226x = 11,726,724,100
  5. Step 5: Solve for x
    x = 11,726,724,100/49,226
  6. Step 6: Final answer
    x = 238,222.16

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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.