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Finding the Third Proportional to 109,896.75 and 197,923.50

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Solution

The third proportional to 109,896.75 and 197,923.50 is: 356,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896.75 : 197,923.50 = 197,923.50 : x
  2. Step 2: Convert to fraction form
    109,896.75/197,923.50 = 197,923.50/x
  3. Step 3: Cross multiply
    109,896.75x = 197,923.50 × 197,923.50
  4. Step 4: Simplify right side
    109,896.75x = 39,173,711,852.25
  5. Step 5: Solve for x
    x = 39,173,711,852.25/109,896.75
  6. Step 6: Final answer
    x = 356,459.24

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.