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Finding the Third Proportional to 94,476 and 199,615.50

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Solution

The third proportional to 94,476 and 199,615.50 is: 421,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,476 : 199,615.50 = 199,615.50 : x
  2. Step 2: Convert to fraction form
    94,476/199,615.50 = 199,615.50/x
  3. Step 3: Cross multiply
    94,476x = 199,615.50 × 199,615.50
  4. Step 4: Simplify right side
    94,476x = 39,846,347,840.25
  5. Step 5: Solve for x
    x = 39,846,347,840.25/94,476
  6. Step 6: Final answer
    x = 421,761.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.