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Finding the Third Proportional to 97,815.09 and 206,136.56

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Solution

The third proportional to 97,815.09 and 206,136.56 is: 434,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,815.09 : 206,136.56 = 206,136.56 : x
  2. Step 2: Convert to fraction form
    97,815.09/206,136.56 = 206,136.56/x
  3. Step 3: Cross multiply
    97,815.09x = 206,136.56 × 206,136.56
  4. Step 4: Simplify right side
    97,815.09x = 42,492,282,399.32
  5. Step 5: Solve for x
    x = 42,492,282,399.32/97,815.09
  6. Step 6: Final answer
    x = 434,414.37

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Why These Related Problems?

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