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Finding the Third Proportional to 91,168 and 191,549

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Solution

The third proportional to 91,168 and 191,549 is: 402,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,168 : 191,549 = 191,549 : x
  2. Step 2: Convert to fraction form
    91,168/191,549 = 191,549/x
  3. Step 3: Cross multiply
    91,168x = 191,549 × 191,549
  4. Step 4: Simplify right side
    91,168x = 36,691,019,401
  5. Step 5: Solve for x
    x = 36,691,019,401/91,168
  6. Step 6: Final answer
    x = 402,455.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.