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Finding the Third Proportional to 94,928 and 208,804

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Solution

The third proportional to 94,928 and 208,804 is: 459,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,928 : 208,804 = 208,804 : x
  2. Step 2: Convert to fraction form
    94,928/208,804 = 208,804/x
  3. Step 3: Cross multiply
    94,928x = 208,804 × 208,804
  4. Step 4: Simplify right side
    94,928x = 43,599,110,416
  5. Step 5: Solve for x
    x = 43,599,110,416/94,928
  6. Step 6: Final answer
    x = 459,286.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.