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Finding the Third Proportional to 103,606.50 and 228,993

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Solution

The third proportional to 103,606.50 and 228,993 is: 506,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,606.50 : 228,993 = 228,993 : x
  2. Step 2: Convert to fraction form
    103,606.50/228,993 = 228,993/x
  3. Step 3: Cross multiply
    103,606.50x = 228,993 × 228,993
  4. Step 4: Simplify right side
    103,606.50x = 52,437,794,049
  5. Step 5: Solve for x
    x = 52,437,794,049/103,606.50
  6. Step 6: Final answer
    x = 506,124.56

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.