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Finding the Third Proportional to 103,568.63 and 222,993

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Solution

The third proportional to 103,568.63 and 222,993 is: 480,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,568.63 : 222,993 = 222,993 : x
  2. Step 2: Convert to fraction form
    103,568.63/222,993 = 222,993/x
  3. Step 3: Cross multiply
    103,568.63x = 222,993 × 222,993
  4. Step 4: Simplify right side
    103,568.63x = 49,725,878,049
  5. Step 5: Solve for x
    x = 49,725,878,049/103,568.63
  6. Step 6: Final answer
    x = 480,124.92

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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.