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Finding the Third Proportional to 199,101 and 421,520.50

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Solution

The third proportional to 199,101 and 421,520.50 is: 892,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,101 : 421,520.50 = 421,520.50 : x
  2. Step 2: Convert to fraction form
    199,101/421,520.50 = 421,520.50/x
  3. Step 3: Cross multiply
    199,101x = 421,520.50 × 421,520.50
  4. Step 4: Simplify right side
    199,101x = 177,679,531,920.25
  5. Step 5: Solve for x
    x = 177,679,531,920.25/199,101
  6. Step 6: Final answer
    x = 892,409.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.