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Finding the Third Proportional to 105,736 and 221,851

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Solution

The third proportional to 105,736 and 221,851 is: 465,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,736 : 221,851 = 221,851 : x
  2. Step 2: Convert to fraction form
    105,736/221,851 = 221,851/x
  3. Step 3: Cross multiply
    105,736x = 221,851 × 221,851
  4. Step 4: Simplify right side
    105,736x = 49,217,866,201
  5. Step 5: Solve for x
    x = 49,217,866,201/105,736
  6. Step 6: Final answer
    x = 465,478.80

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Why These Related Problems?

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