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Finding the Third Proportional to 93,015.75 and 203,766.38

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Solution

The third proportional to 93,015.75 and 203,766.38 is: 446,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,015.75 : 203,766.38 = 203,766.38 : x
  2. Step 2: Convert to fraction form
    93,015.75/203,766.38 = 203,766.38/x
  3. Step 3: Cross multiply
    93,015.75x = 203,766.38 × 203,766.38
  4. Step 4: Simplify right side
    93,015.75x = 41,520,735,580.64
  5. Step 5: Solve for x
    x = 41,520,735,580.64/93,015.75
  6. Step 6: Final answer
    x = 446,383.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.