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Finding the Third Proportional to 88,696 and 197,075

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Solution

The third proportional to 88,696 and 197,075 is: 437,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,696 : 197,075 = 197,075 : x
  2. Step 2: Convert to fraction form
    88,696/197,075 = 197,075/x
  3. Step 3: Cross multiply
    88,696x = 197,075 × 197,075
  4. Step 4: Simplify right side
    88,696x = 38,838,555,625
  5. Step 5: Solve for x
    x = 38,838,555,625/88,696
  6. Step 6: Final answer
    x = 437,883.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.