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Finding the Third Proportional to 105,770 and 221,916

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Solution

The third proportional to 105,770 and 221,916 is: 465,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,770 : 221,916 = 221,916 : x
  2. Step 2: Convert to fraction form
    105,770/221,916 = 221,916/x
  3. Step 3: Cross multiply
    105,770x = 221,916 × 221,916
  4. Step 4: Simplify right side
    105,770x = 49,246,711,056
  5. Step 5: Solve for x
    x = 49,246,711,056/105,770
  6. Step 6: Final answer
    x = 465,601.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.