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Finding the Third Proportional to 43,744.22 and 93,705.19

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Solution

The third proportional to 43,744.22 and 93,705.19 is: 200,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,744.22 : 93,705.19 = 93,705.19 : x
  2. Step 2: Convert to fraction form
    43,744.22/93,705.19 = 93,705.19/x
  3. Step 3: Cross multiply
    43,744.22x = 93,705.19 × 93,705.19
  4. Step 4: Simplify right side
    43,744.22x = 8,780,662,164.41
  5. Step 5: Solve for x
    x = 8,780,662,164.41/43,744.22
  6. Step 6: Final answer
    x = 200,727.37

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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.