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Finding the Third Proportional to 46,291.50 and 108,514.69

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Solution

The third proportional to 46,291.50 and 108,514.69 is: 254,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,291.50 : 108,514.69 = 108,514.69 : x
  2. Step 2: Convert to fraction form
    46,291.50/108,514.69 = 108,514.69/x
  3. Step 3: Cross multiply
    46,291.50x = 108,514.69 × 108,514.69
  4. Step 4: Simplify right side
    46,291.50x = 11,775,437,403.22
  5. Step 5: Solve for x
    x = 11,775,437,403.22/46,291.50
  6. Step 6: Final answer
    x = 254,375.80

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.