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Finding the Third Proportional to 86,744.63 and 200,799

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Solution

The third proportional to 86,744.63 and 200,799 is: 464,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,744.63 : 200,799 = 200,799 : x
  2. Step 2: Convert to fraction form
    86,744.63/200,799 = 200,799/x
  3. Step 3: Cross multiply
    86,744.63x = 200,799 × 200,799
  4. Step 4: Simplify right side
    86,744.63x = 40,320,238,401
  5. Step 5: Solve for x
    x = 40,320,238,401/86,744.63
  6. Step 6: Final answer
    x = 464,815.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.