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Finding the Third Proportional to 43,744.88 and 90,406.13

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Solution

The third proportional to 43,744.88 and 90,406.13 is: 186,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,744.88 : 90,406.13 = 90,406.13 : x
  2. Step 2: Convert to fraction form
    43,744.88/90,406.13 = 90,406.13/x
  3. Step 3: Cross multiply
    43,744.88x = 90,406.13 × 90,406.13
  4. Step 4: Simplify right side
    43,744.88x = 8,173,267,437.52
  5. Step 5: Solve for x
    x = 8,173,267,437.52/43,744.88
  6. Step 6: Final answer
    x = 186,839.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.