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Finding the Third Proportional to 97,075 and 198,853

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Solution

The third proportional to 97,075 and 198,853 is: 407,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,075 : 198,853 = 198,853 : x
  2. Step 2: Convert to fraction form
    97,075/198,853 = 198,853/x
  3. Step 3: Cross multiply
    97,075x = 198,853 × 198,853
  4. Step 4: Simplify right side
    97,075x = 39,542,515,609
  5. Step 5: Solve for x
    x = 39,542,515,609/97,075
  6. Step 6: Final answer
    x = 407,339.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.