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Finding the Third Proportional to 93,894.75 and 193,983.75

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Solution

The third proportional to 93,894.75 and 193,983.75 is: 400,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,894.75 : 193,983.75 = 193,983.75 : x
  2. Step 2: Convert to fraction form
    93,894.75/193,983.75 = 193,983.75/x
  3. Step 3: Cross multiply
    93,894.75x = 193,983.75 × 193,983.75
  4. Step 4: Simplify right side
    93,894.75x = 37,629,695,264.06
  5. Step 5: Solve for x
    x = 37,629,695,264.06/93,894.75
  6. Step 6: Final answer
    x = 400,764.64

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.