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Finding the Third Proportional to 43,745,200 and 95,728,748

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Solution

The third proportional to 43,745,200 and 95,728,748 is: 209,485,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,745,200 : 95,728,748 = 95,728,748 : x
  2. Step 2: Convert to fraction form
    43,745,200/95,728,748 = 95,728,748/x
  3. Step 3: Cross multiply
    43,745,200x = 95,728,748 × 95,728,748
  4. Step 4: Simplify right side
    43,745,200x = 9,163,993,193,647,504
  5. Step 5: Solve for x
    x = 9,163,993,193,647,504/43,745,200
  6. Step 6: Final answer
    x = 209,485,685.14

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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.