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Finding the Third Proportional to 46,213.88 and 94,613.63

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Solution

The third proportional to 46,213.88 and 94,613.63 is: 193,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,213.88 : 94,613.63 = 94,613.63 : x
  2. Step 2: Convert to fraction form
    46,213.88/94,613.63 = 94,613.63/x
  3. Step 3: Cross multiply
    46,213.88x = 94,613.63 × 94,613.63
  4. Step 4: Simplify right side
    46,213.88x = 8,951,738,035.64
  5. Step 5: Solve for x
    x = 8,951,738,035.64/46,213.88
  6. Step 6: Final answer
    x = 193,702.39

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.