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Finding the Third Proportional to 93,850 and 204,223

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Solution

The third proportional to 93,850 and 204,223 is: 444,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,850 : 204,223 = 204,223 : x
  2. Step 2: Convert to fraction form
    93,850/204,223 = 204,223/x
  3. Step 3: Cross multiply
    93,850x = 204,223 × 204,223
  4. Step 4: Simplify right side
    93,850x = 41,707,033,729
  5. Step 5: Solve for x
    x = 41,707,033,729/93,850
  6. Step 6: Final answer
    x = 444,401.00

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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.