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Finding the Third Proportional to 43,853.91 and 93,539.81

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Solution

The third proportional to 43,853.91 and 93,539.81 is: 199,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,853.91 : 93,539.81 = 93,539.81 : x
  2. Step 2: Convert to fraction form
    43,853.91/93,539.81 = 93,539.81/x
  3. Step 3: Cross multiply
    43,853.91x = 93,539.81 × 93,539.81
  4. Step 4: Simplify right side
    43,853.91x = 8,749,696,522.54
  5. Step 5: Solve for x
    x = 8,749,696,522.54/43,853.91
  6. Step 6: Final answer
    x = 199,519.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.