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Finding the Third Proportional to 92,491.88 and 199,011.94

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Solution

The third proportional to 92,491.88 and 199,011.94 is: 428,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,491.88 : 199,011.94 = 199,011.94 : x
  2. Step 2: Convert to fraction form
    92,491.88/199,011.94 = 199,011.94/x
  3. Step 3: Cross multiply
    92,491.88x = 199,011.94 × 199,011.94
  4. Step 4: Simplify right side
    92,491.88x = 39,605,751,267.50
  5. Step 5: Solve for x
    x = 39,605,751,267.50/92,491.88
  6. Step 6: Final answer
    x = 428,207.90

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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.