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Finding the Third Proportional to 90,046.69 and 208,467.84

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Solution

The third proportional to 90,046.69 and 208,467.84 is: 482,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,046.69 : 208,467.84 = 208,467.84 : x
  2. Step 2: Convert to fraction form
    90,046.69/208,467.84 = 208,467.84/x
  3. Step 3: Cross multiply
    90,046.69x = 208,467.84 × 208,467.84
  4. Step 4: Simplify right side
    90,046.69x = 43,458,841,877.77
  5. Step 5: Solve for x
    x = 43,458,841,877.77/90,046.69
  6. Step 6: Final answer
    x = 482,625.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.