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Finding the Third Proportional to 90,911.25 and 197,844.75

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Solution

The third proportional to 90,911.25 and 197,844.75 is: 430,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,911.25 : 197,844.75 = 197,844.75 : x
  2. Step 2: Convert to fraction form
    90,911.25/197,844.75 = 197,844.75/x
  3. Step 3: Cross multiply
    90,911.25x = 197,844.75 × 197,844.75
  4. Step 4: Simplify right side
    90,911.25x = 39,142,545,102.56
  5. Step 5: Solve for x
    x = 39,142,545,102.56/90,911.25
  6. Step 6: Final answer
    x = 430,557.77

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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.