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Finding the Third Proportional to 88,396 and 190,912

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Solution

The third proportional to 88,396 and 190,912 is: 412,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,396 : 190,912 = 190,912 : x
  2. Step 2: Convert to fraction form
    88,396/190,912 = 190,912/x
  3. Step 3: Cross multiply
    88,396x = 190,912 × 190,912
  4. Step 4: Simplify right side
    88,396x = 36,447,391,744
  5. Step 5: Solve for x
    x = 36,447,391,744/88,396
  6. Step 6: Final answer
    x = 412,319.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.