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Finding the Third Proportional to 97,814.06 and 206,136.56

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Solution

The third proportional to 97,814.06 and 206,136.56 is: 434,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,814.06 : 206,136.56 = 206,136.56 : x
  2. Step 2: Convert to fraction form
    97,814.06/206,136.56 = 206,136.56/x
  3. Step 3: Cross multiply
    97,814.06x = 206,136.56 × 206,136.56
  4. Step 4: Simplify right side
    97,814.06x = 42,492,282,399.32
  5. Step 5: Solve for x
    x = 42,492,282,399.32/97,814.06
  6. Step 6: Final answer
    x = 434,418.95

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.