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Finding the Third Proportional to 91,276 and 196,045

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Solution

The third proportional to 91,276 and 196,045 is: 421,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,276 : 196,045 = 196,045 : x
  2. Step 2: Convert to fraction form
    91,276/196,045 = 196,045/x
  3. Step 3: Cross multiply
    91,276x = 196,045 × 196,045
  4. Step 4: Simplify right side
    91,276x = 38,433,642,025
  5. Step 5: Solve for x
    x = 38,433,642,025/91,276
  6. Step 6: Final answer
    x = 421,070.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.