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Finding the Third Proportional to 94,805.44 and 201,300.19

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Solution

The third proportional to 94,805.44 and 201,300.19 is: 427,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,805.44 : 201,300.19 = 201,300.19 : x
  2. Step 2: Convert to fraction form
    94,805.44/201,300.19 = 201,300.19/x
  3. Step 3: Cross multiply
    94,805.44x = 201,300.19 × 201,300.19
  4. Step 4: Simplify right side
    94,805.44x = 40,521,765,487.54
  5. Step 5: Solve for x
    x = 40,521,765,487.54/94,805.44
  6. Step 6: Final answer
    x = 427,420.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.