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Finding the Third Proportional to 87,396.38 and 190,362.38

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Solution

The third proportional to 87,396.38 and 190,362.38 is: 414,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,396.38 : 190,362.38 = 190,362.38 : x
  2. Step 2: Convert to fraction form
    87,396.38/190,362.38 = 190,362.38/x
  3. Step 3: Cross multiply
    87,396.38x = 190,362.38 × 190,362.38
  4. Step 4: Simplify right side
    87,396.38x = 36,237,833,815.64
  5. Step 5: Solve for x
    x = 36,237,833,815.64/87,396.38
  6. Step 6: Final answer
    x = 414,637.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.