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Finding the Third Proportional to 103,919.50 and 223,866.50

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Solution

The third proportional to 103,919.50 and 223,866.50 is: 482,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,919.50 : 223,866.50 = 223,866.50 : x
  2. Step 2: Convert to fraction form
    103,919.50/223,866.50 = 223,866.50/x
  3. Step 3: Cross multiply
    103,919.50x = 223,866.50 × 223,866.50
  4. Step 4: Simplify right side
    103,919.50x = 50,116,209,822.25
  5. Step 5: Solve for x
    x = 50,116,209,822.25/103,919.50
  6. Step 6: Final answer
    x = 482,259.92

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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.