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Finding the Third Proportional to 88,200 and 192,303

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Solution

The third proportional to 88,200 and 192,303 is: 419,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,200 : 192,303 = 192,303 : x
  2. Step 2: Convert to fraction form
    88,200/192,303 = 192,303/x
  3. Step 3: Cross multiply
    88,200x = 192,303 × 192,303
  4. Step 4: Simplify right side
    88,200x = 36,980,443,809
  5. Step 5: Solve for x
    x = 36,980,443,809/88,200
  6. Step 6: Final answer
    x = 419,279.41

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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.