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Finding the Third Proportional to 49,220 and 104,882

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Solution

The third proportional to 49,220 and 104,882 is: 223,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,220 : 104,882 = 104,882 : x
  2. Step 2: Convert to fraction form
    49,220/104,882 = 104,882/x
  3. Step 3: Cross multiply
    49,220x = 104,882 × 104,882
  4. Step 4: Simplify right side
    49,220x = 11,000,233,924
  5. Step 5: Solve for x
    x = 11,000,233,924/49,220
  6. Step 6: Final answer
    x = 223,491.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.