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Finding the Third Proportional to 43,690.50 and 95,613.75

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Solution

The third proportional to 43,690.50 and 95,613.75 is: 209,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,690.50 : 95,613.75 = 95,613.75 : x
  2. Step 2: Convert to fraction form
    43,690.50/95,613.75 = 95,613.75/x
  3. Step 3: Cross multiply
    43,690.50x = 95,613.75 × 95,613.75
  4. Step 4: Simplify right side
    43,690.50x = 9,141,989,189.06
  5. Step 5: Solve for x
    x = 9,141,989,189.06/43,690.50
  6. Step 6: Final answer
    x = 209,244.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.