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Finding the Third Proportional to 90,954 and 196,854

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Solution

The third proportional to 90,954 and 196,854 is: 426,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,954 : 196,854 = 196,854 : x
  2. Step 2: Convert to fraction form
    90,954/196,854 = 196,854/x
  3. Step 3: Cross multiply
    90,954x = 196,854 × 196,854
  4. Step 4: Simplify right side
    90,954x = 38,751,497,316
  5. Step 5: Solve for x
    x = 38,751,497,316/90,954
  6. Step 6: Final answer
    x = 426,056.00

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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.