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Finding the Third Proportional to 103,918 and 223,729

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Solution

The third proportional to 103,918 and 223,729 is: 481,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,918 : 223,729 = 223,729 : x
  2. Step 2: Convert to fraction form
    103,918/223,729 = 223,729/x
  3. Step 3: Cross multiply
    103,918x = 223,729 × 223,729
  4. Step 4: Simplify right side
    103,918x = 50,054,665,441
  5. Step 5: Solve for x
    x = 50,054,665,441/103,918
  6. Step 6: Final answer
    x = 481,674.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.