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Finding the Third Proportional to 93,269.29 and 199,846.62

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Solution

The third proportional to 93,269.29 and 199,846.62 is: 428,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,269.29 : 199,846.62 = 199,846.62 : x
  2. Step 2: Convert to fraction form
    93,269.29/199,846.62 = 199,846.62/x
  3. Step 3: Cross multiply
    93,269.29x = 199,846.62 × 199,846.62
  4. Step 4: Simplify right side
    93,269.29x = 39,938,670,401.29
  5. Step 5: Solve for x
    x = 39,938,670,401.29/93,269.29
  6. Step 6: Final answer
    x = 428,208.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.