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Finding the Third Proportional to 93,225 and 198,904

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Solution

The third proportional to 93,225 and 198,904 is: 424,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,225 : 198,904 = 198,904 : x
  2. Step 2: Convert to fraction form
    93,225/198,904 = 198,904/x
  3. Step 3: Cross multiply
    93,225x = 198,904 × 198,904
  4. Step 4: Simplify right side
    93,225x = 39,562,801,216
  5. Step 5: Solve for x
    x = 39,562,801,216/93,225
  6. Step 6: Final answer
    x = 424,379.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.