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Finding the Third Proportional to 93,862 and 204,247

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Solution

The third proportional to 93,862 and 204,247 is: 444,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,862 : 204,247 = 204,247 : x
  2. Step 2: Convert to fraction form
    93,862/204,247 = 204,247/x
  3. Step 3: Cross multiply
    93,862x = 204,247 × 204,247
  4. Step 4: Simplify right side
    93,862x = 41,716,837,009
  5. Step 5: Solve for x
    x = 41,716,837,009/93,862
  6. Step 6: Final answer
    x = 444,448.63

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Why These Related Problems?

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