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Finding the Third Proportional to 44,729,968 and 97,834,668

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Solution

The third proportional to 44,729,968 and 97,834,668 is: 213,986,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,729,968 : 97,834,668 = 97,834,668 : x
  2. Step 2: Convert to fraction form
    44,729,968/97,834,668 = 97,834,668/x
  3. Step 3: Cross multiply
    44,729,968x = 97,834,668 × 97,834,668
  4. Step 4: Simplify right side
    44,729,968x = 9,571,622,262,670,224
  5. Step 5: Solve for x
    x = 9,571,622,262,670,224/44,729,968
  6. Step 6: Final answer
    x = 213,986,789.86

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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.