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Finding the Third Proportional to 92,353.50 and 199,984.50

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Solution

The third proportional to 92,353.50 and 199,984.50 is: 433,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,353.50 : 199,984.50 = 199,984.50 : x
  2. Step 2: Convert to fraction form
    92,353.50/199,984.50 = 199,984.50/x
  3. Step 3: Cross multiply
    92,353.50x = 199,984.50 × 199,984.50
  4. Step 4: Simplify right side
    92,353.50x = 39,993,800,240.25
  5. Step 5: Solve for x
    x = 39,993,800,240.25/92,353.50
  6. Step 6: Final answer
    x = 433,051.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.