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Finding the Third Proportional to 94,904 and 200,388

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Solution

The third proportional to 94,904 and 200,388 is: 423,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,904 : 200,388 = 200,388 : x
  2. Step 2: Convert to fraction form
    94,904/200,388 = 200,388/x
  3. Step 3: Cross multiply
    94,904x = 200,388 × 200,388
  4. Step 4: Simplify right side
    94,904x = 40,155,350,544
  5. Step 5: Solve for x
    x = 40,155,350,544/94,904
  6. Step 6: Final answer
    x = 423,115.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.