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Finding the Third Proportional to 88,784 and 190,204

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Solution

The third proportional to 88,784 and 190,204 is: 407,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,784 : 190,204 = 190,204 : x
  2. Step 2: Convert to fraction form
    88,784/190,204 = 190,204/x
  3. Step 3: Cross multiply
    88,784x = 190,204 × 190,204
  4. Step 4: Simplify right side
    88,784x = 36,177,561,616
  5. Step 5: Solve for x
    x = 36,177,561,616/88,784
  6. Step 6: Final answer
    x = 407,478.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.