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Finding the Third Proportional to 129,205,120 and 198,597,530

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Solution

The third proportional to 129,205,120 and 198,597,530 is: 305,258,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,120 : 198,597,530 = 198,597,530 : x
  2. Step 2: Convert to fraction form
    129,205,120/198,597,530 = 198,597,530/x
  3. Step 3: Cross multiply
    129,205,120x = 198,597,530 × 198,597,530
  4. Step 4: Simplify right side
    129,205,120x = 39,440,978,922,100,896
  5. Step 5: Solve for x
    x = 39,440,978,922,100,896/129,205,120
  6. Step 6: Final answer
    x = 305,258,637.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.