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Finding the Third Proportional to 127,729,318 and 200,099,765

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Solution

The third proportional to 127,729,318 and 200,099,765 is: 313,474,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,729,318 : 200,099,765 = 200,099,765 : x
  2. Step 2: Convert to fraction form
    127,729,318/200,099,765 = 200,099,765/x
  3. Step 3: Cross multiply
    127,729,318x = 200,099,765 × 200,099,765
  4. Step 4: Simplify right side
    127,729,318x = 40,039,915,953,055,224
  5. Step 5: Solve for x
    x = 40,039,915,953,055,224/127,729,318
  6. Step 6: Final answer
    x = 313,474,749.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.