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Finding the Third Proportional to 90,411.19 and 196,393.36

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Solution

The third proportional to 90,411.19 and 196,393.36 is: 426,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,411.19 : 196,393.36 = 196,393.36 : x
  2. Step 2: Convert to fraction form
    90,411.19/196,393.36 = 196,393.36/x
  3. Step 3: Cross multiply
    90,411.19x = 196,393.36 × 196,393.36
  4. Step 4: Simplify right side
    90,411.19x = 38,570,351,606.60
  5. Step 5: Solve for x
    x = 38,570,351,606.60/90,411.19
  6. Step 6: Final answer
    x = 426,610.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.