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Finding the Third Proportional to 103,929 and 223,884.50

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Solution

The third proportional to 103,929 and 223,884.50 is: 482,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,929 : 223,884.50 = 223,884.50 : x
  2. Step 2: Convert to fraction form
    103,929/223,884.50 = 223,884.50/x
  3. Step 3: Cross multiply
    103,929x = 223,884.50 × 223,884.50
  4. Step 4: Simplify right side
    103,929x = 50,124,269,340.25
  5. Step 5: Solve for x
    x = 50,124,269,340.25/103,929
  6. Step 6: Final answer
    x = 482,293.39

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