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Finding the Third Proportional to 103,690 and 223,920

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Solution

The third proportional to 103,690 and 223,920 is: 483,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 223,920 = 223,920 : x
  2. Step 2: Convert to fraction form
    103,690/223,920 = 223,920/x
  3. Step 3: Cross multiply
    103,690x = 223,920 × 223,920
  4. Step 4: Simplify right side
    103,690x = 50,140,166,400
  5. Step 5: Solve for x
    x = 50,140,166,400/103,690
  6. Step 6: Final answer
    x = 483,558.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.