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Finding the Third Proportional to 91,541 and 198,307

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Solution

The third proportional to 91,541 and 198,307 is: 429,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,541 : 198,307 = 198,307 : x
  2. Step 2: Convert to fraction form
    91,541/198,307 = 198,307/x
  3. Step 3: Cross multiply
    91,541x = 198,307 × 198,307
  4. Step 4: Simplify right side
    91,541x = 39,325,666,249
  5. Step 5: Solve for x
    x = 39,325,666,249/91,541
  6. Step 6: Final answer
    x = 429,596.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.