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Finding the Third Proportional to 43,727,863.50 and 95,693,098.50

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Solution

The third proportional to 43,727,863.50 and 95,693,098.50 is: 209,412,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,727,863.50 : 95,693,098.50 = 95,693,098.50 : x
  2. Step 2: Convert to fraction form
    43,727,863.50/95,693,098.50 = 95,693,098.50/x
  3. Step 3: Cross multiply
    43,727,863.50x = 95,693,098.50 × 95,693,098.50
  4. Step 4: Simplify right side
    43,727,863.50x = 9,157,169,100,530,702
  5. Step 5: Solve for x
    x = 9,157,169,100,530,702/43,727,863.50
  6. Step 6: Final answer
    x = 209,412,680.33

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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.