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Finding the Third Proportional to 103,913.50 and 223,721

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Solution

The third proportional to 103,913.50 and 223,721 is: 481,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,913.50 : 223,721 = 223,721 : x
  2. Step 2: Convert to fraction form
    103,913.50/223,721 = 223,721/x
  3. Step 3: Cross multiply
    103,913.50x = 223,721 × 223,721
  4. Step 4: Simplify right side
    103,913.50x = 50,051,085,841
  5. Step 5: Solve for x
    x = 50,051,085,841/103,913.50
  6. Step 6: Final answer
    x = 481,661.05

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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.