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Finding the Third Proportional to 94,158 and 198,009

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Solution

The third proportional to 94,158 and 198,009 is: 416,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,158 : 198,009 = 198,009 : x
  2. Step 2: Convert to fraction form
    94,158/198,009 = 198,009/x
  3. Step 3: Cross multiply
    94,158x = 198,009 × 198,009
  4. Step 4: Simplify right side
    94,158x = 39,207,564,081
  5. Step 5: Solve for x
    x = 39,207,564,081/94,158
  6. Step 6: Final answer
    x = 416,401.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.