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Finding the Third Proportional to 91,492 and 199,012

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Solution

The third proportional to 91,492 and 199,012 is: 432,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,492 : 199,012 = 199,012 : x
  2. Step 2: Convert to fraction form
    91,492/199,012 = 199,012/x
  3. Step 3: Cross multiply
    91,492x = 199,012 × 199,012
  4. Step 4: Simplify right side
    91,492x = 39,605,776,144
  5. Step 5: Solve for x
    x = 39,605,776,144/91,492
  6. Step 6: Final answer
    x = 432,887.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.