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Finding the Third Proportional to 88,222 and 192,437

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Solution

The third proportional to 88,222 and 192,437 is: 419,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,222 : 192,437 = 192,437 : x
  2. Step 2: Convert to fraction form
    88,222/192,437 = 192,437/x
  3. Step 3: Cross multiply
    88,222x = 192,437 × 192,437
  4. Step 4: Simplify right side
    88,222x = 37,031,998,969
  5. Step 5: Solve for x
    x = 37,031,998,969/88,222
  6. Step 6: Final answer
    x = 419,759.23

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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.