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Finding the Third Proportional to 43,744,971 and 95,728,614

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Solution

The third proportional to 43,744,971 and 95,728,614 is: 209,486,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,744,971 : 95,728,614 = 95,728,614 : x
  2. Step 2: Convert to fraction form
    43,744,971/95,728,614 = 95,728,614/x
  3. Step 3: Cross multiply
    43,744,971x = 95,728,614 × 95,728,614
  4. Step 4: Simplify right side
    43,744,971x = 9,163,967,538,360,996
  5. Step 5: Solve for x
    x = 9,163,967,538,360,996/43,744,971
  6. Step 6: Final answer
    x = 209,486,195.30

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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.