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Finding the Third Proportional to 88,220 and 192,300

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Solution

The third proportional to 88,220 and 192,300 is: 419,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,220 : 192,300 = 192,300 : x
  2. Step 2: Convert to fraction form
    88,220/192,300 = 192,300/x
  3. Step 3: Cross multiply
    88,220x = 192,300 × 192,300
  4. Step 4: Simplify right side
    88,220x = 36,979,290,000
  5. Step 5: Solve for x
    x = 36,979,290,000/88,220
  6. Step 6: Final answer
    x = 419,171.28

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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.