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Finding the Third Proportional to 73,945,773 and 159,583,086

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Solution

The third proportional to 73,945,773 and 159,583,086 is: 344,397,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,945,773 : 159,583,086 = 159,583,086 : x
  2. Step 2: Convert to fraction form
    73,945,773/159,583,086 = 159,583,086/x
  3. Step 3: Cross multiply
    73,945,773x = 159,583,086 × 159,583,086
  4. Step 4: Simplify right side
    73,945,773x = 25,466,761,337,283,396
  5. Step 5: Solve for x
    x = 25,466,761,337,283,396/73,945,773
  6. Step 6: Final answer
    x = 344,397,797.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.