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Finding the Third Proportional to 83,267.44 and 196,433.44

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Solution

The third proportional to 83,267.44 and 196,433.44 is: 463,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,267.44 : 196,433.44 = 196,433.44 : x
  2. Step 2: Convert to fraction form
    83,267.44/196,433.44 = 196,433.44/x
  3. Step 3: Cross multiply
    83,267.44x = 196,433.44 × 196,433.44
  4. Step 4: Simplify right side
    83,267.44x = 38,586,095,368.07
  5. Step 5: Solve for x
    x = 38,586,095,368.07/83,267.44
  6. Step 6: Final answer
    x = 463,399.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.