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Finding the Third Proportional to 91,917.28 and 197,910.84

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Solution

The third proportional to 91,917.28 and 197,910.84 is: 426,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,917.28 : 197,910.84 = 197,910.84 : x
  2. Step 2: Convert to fraction form
    91,917.28/197,910.84 = 197,910.84/x
  3. Step 3: Cross multiply
    91,917.28x = 197,910.84 × 197,910.84
  4. Step 4: Simplify right side
    91,917.28x = 39,168,702,073.84
  5. Step 5: Solve for x
    x = 39,168,702,073.84/91,917.28
  6. Step 6: Final answer
    x = 426,129.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.