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Finding the Third Proportional to 199,633.50 and 219,316.50

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Solution

The third proportional to 199,633.50 and 219,316.50 is: 240,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,633.50 : 219,316.50 = 219,316.50 : x
  2. Step 2: Convert to fraction form
    199,633.50/219,316.50 = 219,316.50/x
  3. Step 3: Cross multiply
    199,633.50x = 219,316.50 × 219,316.50
  4. Step 4: Simplify right side
    199,633.50x = 48,099,727,172.25
  5. Step 5: Solve for x
    x = 48,099,727,172.25/199,633.50
  6. Step 6: Final answer
    x = 240,940.16

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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.