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Finding the Third Proportional to 97,570 and 198,596

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Solution

The third proportional to 97,570 and 198,596 is: 404,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,570 : 198,596 = 198,596 : x
  2. Step 2: Convert to fraction form
    97,570/198,596 = 198,596/x
  3. Step 3: Cross multiply
    97,570x = 198,596 × 198,596
  4. Step 4: Simplify right side
    97,570x = 39,440,371,216
  5. Step 5: Solve for x
    x = 39,440,371,216/97,570
  6. Step 6: Final answer
    x = 404,226.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.