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Finding the Third Proportional to 92,364.47 and 199,491.19

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Solution

The third proportional to 92,364.47 and 199,491.19 is: 430,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,364.47 : 199,491.19 = 199,491.19 : x
  2. Step 2: Convert to fraction form
    92,364.47/199,491.19 = 199,491.19/x
  3. Step 3: Cross multiply
    92,364.47x = 199,491.19 × 199,491.19
  4. Step 4: Simplify right side
    92,364.47x = 39,796,733,890.16
  5. Step 5: Solve for x
    x = 39,796,733,890.16/92,364.47
  6. Step 6: Final answer
    x = 430,866.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.