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Finding the Third Proportional to 88,226 and 192,313

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Solution

The third proportional to 88,226 and 192,313 is: 419,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,226 : 192,313 = 192,313 : x
  2. Step 2: Convert to fraction form
    88,226/192,313 = 192,313/x
  3. Step 3: Cross multiply
    88,226x = 192,313 × 192,313
  4. Step 4: Simplify right side
    88,226x = 36,984,289,969
  5. Step 5: Solve for x
    x = 36,984,289,969/88,226
  6. Step 6: Final answer
    x = 419,199.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.