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Finding the Third Proportional to 91,012 and 196,822

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Solution

The third proportional to 91,012 and 196,822 is: 425,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,012 : 196,822 = 196,822 : x
  2. Step 2: Convert to fraction form
    91,012/196,822 = 196,822/x
  3. Step 3: Cross multiply
    91,012x = 196,822 × 196,822
  4. Step 4: Simplify right side
    91,012x = 38,738,899,684
  5. Step 5: Solve for x
    x = 38,738,899,684/91,012
  6. Step 6: Final answer
    x = 425,646.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.