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Finding the Third Proportional to 197,187.75 and 216,060.75

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Solution

The third proportional to 197,187.75 and 216,060.75 is: 236,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,187.75 : 216,060.75 = 216,060.75 : x
  2. Step 2: Convert to fraction form
    197,187.75/216,060.75 = 216,060.75/x
  3. Step 3: Cross multiply
    197,187.75x = 216,060.75 × 216,060.75
  4. Step 4: Simplify right side
    197,187.75x = 46,682,247,690.56
  5. Step 5: Solve for x
    x = 46,682,247,690.56/197,187.75
  6. Step 6: Final answer
    x = 236,740.10

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.