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Finding the Third Proportional to 106,300 and 223,616

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Solution

The third proportional to 106,300 and 223,616 is: 470,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,300 : 223,616 = 223,616 : x
  2. Step 2: Convert to fraction form
    106,300/223,616 = 223,616/x
  3. Step 3: Cross multiply
    106,300x = 223,616 × 223,616
  4. Step 4: Simplify right side
    106,300x = 50,004,115,456
  5. Step 5: Solve for x
    x = 50,004,115,456/106,300
  6. Step 6: Final answer
    x = 470,405.60

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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.