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Finding the Third Proportional to 89,838 and 197,904.75

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Solution

The third proportional to 89,838 and 197,904.75 is: 435,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,838 : 197,904.75 = 197,904.75 : x
  2. Step 2: Convert to fraction form
    89,838/197,904.75 = 197,904.75/x
  3. Step 3: Cross multiply
    89,838x = 197,904.75 × 197,904.75
  4. Step 4: Simplify right side
    89,838x = 39,166,290,072.56
  5. Step 5: Solve for x
    x = 39,166,290,072.56/89,838
  6. Step 6: Final answer
    x = 435,965.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.