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Finding the Third Proportional to 103,387.50 and 223,722

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Solution

The third proportional to 103,387.50 and 223,722 is: 484,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,387.50 : 223,722 = 223,722 : x
  2. Step 2: Convert to fraction form
    103,387.50/223,722 = 223,722/x
  3. Step 3: Cross multiply
    103,387.50x = 223,722 × 223,722
  4. Step 4: Simplify right side
    103,387.50x = 50,051,533,284
  5. Step 5: Solve for x
    x = 50,051,533,284/103,387.50
  6. Step 6: Final answer
    x = 484,115.91

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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.