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Finding the Third Proportional to 46,883 and 95,506.50

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Solution

The third proportional to 46,883 and 95,506.50 is: 194,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,883 : 95,506.50 = 95,506.50 : x
  2. Step 2: Convert to fraction form
    46,883/95,506.50 = 95,506.50/x
  3. Step 3: Cross multiply
    46,883x = 95,506.50 × 95,506.50
  4. Step 4: Simplify right side
    46,883x = 9,121,491,542.25
  5. Step 5: Solve for x
    x = 9,121,491,542.25/46,883
  6. Step 6: Final answer
    x = 194,558.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.