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Finding the Third Proportional to 90,016 and 208,391

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Solution

The third proportional to 90,016 and 208,391 is: 482,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,016 : 208,391 = 208,391 : x
  2. Step 2: Convert to fraction form
    90,016/208,391 = 208,391/x
  3. Step 3: Cross multiply
    90,016x = 208,391 × 208,391
  4. Step 4: Simplify right side
    90,016x = 43,426,808,881
  5. Step 5: Solve for x
    x = 43,426,808,881/90,016
  6. Step 6: Final answer
    x = 482,434.33

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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.