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Finding the Third Proportional to 103,894.50 and 224,403.75

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Solution

The third proportional to 103,894.50 and 224,403.75 is: 484,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,894.50 : 224,403.75 = 224,403.75 : x
  2. Step 2: Convert to fraction form
    103,894.50/224,403.75 = 224,403.75/x
  3. Step 3: Cross multiply
    103,894.50x = 224,403.75 × 224,403.75
  4. Step 4: Simplify right side
    103,894.50x = 50,357,043,014.06
  5. Step 5: Solve for x
    x = 50,357,043,014.06/103,894.50
  6. Step 6: Final answer
    x = 484,694.02

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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.