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Finding the Third Proportional to 91,537 and 198,299

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Solution

The third proportional to 91,537 and 198,299 is: 429,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,537 : 198,299 = 198,299 : x
  2. Step 2: Convert to fraction form
    91,537/198,299 = 198,299/x
  3. Step 3: Cross multiply
    91,537x = 198,299 × 198,299
  4. Step 4: Simplify right side
    91,537x = 39,322,493,401
  5. Step 5: Solve for x
    x = 39,322,493,401/91,537
  6. Step 6: Final answer
    x = 429,580.32

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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.