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Finding the Third Proportional to 93,838.50 and 204,201

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Solution

The third proportional to 93,838.50 and 204,201 is: 444,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,838.50 : 204,201 = 204,201 : x
  2. Step 2: Convert to fraction form
    93,838.50/204,201 = 204,201/x
  3. Step 3: Cross multiply
    93,838.50x = 204,201 × 204,201
  4. Step 4: Simplify right side
    93,838.50x = 41,698,048,401
  5. Step 5: Solve for x
    x = 41,698,048,401/93,838.50
  6. Step 6: Final answer
    x = 444,359.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.