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Finding the Third Proportional to 195,000.75 and 419,106.38

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Solution

The third proportional to 195,000.75 and 419,106.38 is: 900,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,000.75 : 419,106.38 = 419,106.38 : x
  2. Step 2: Convert to fraction form
    195,000.75/419,106.38 = 419,106.38/x
  3. Step 3: Cross multiply
    195,000.75x = 419,106.38 × 419,106.38
  4. Step 4: Simplify right side
    195,000.75x = 175,650,153,565.64
  5. Step 5: Solve for x
    x = 175,650,153,565.64/195,000.75
  6. Step 6: Final answer
    x = 900,766.55

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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.