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Finding the Third Proportional to 146,194.88 and 197,103.38

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Solution

The third proportional to 146,194.88 and 197,103.38 is: 265,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,194.88 : 197,103.38 = 197,103.38 : x
  2. Step 2: Convert to fraction form
    146,194.88/197,103.38 = 197,103.38/x
  3. Step 3: Cross multiply
    146,194.88x = 197,103.38 × 197,103.38
  4. Step 4: Simplify right side
    146,194.88x = 38,849,740,436.39
  5. Step 5: Solve for x
    x = 38,849,740,436.39/146,194.88
  6. Step 6: Final answer
    x = 265,739.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.