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Finding the Third Proportional to 129,205,005 and 198,597,371.25

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Solution

The third proportional to 129,205,005 and 198,597,371.25 is: 305,258,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,005 : 198,597,371.25 = 198,597,371.25 : x
  2. Step 2: Convert to fraction form
    129,205,005/198,597,371.25 = 198,597,371.25/x
  3. Step 3: Cross multiply
    129,205,005x = 198,597,371.25 × 198,597,371.25
  4. Step 4: Simplify right side
    129,205,005x = 39,440,915,867,410,328
  5. Step 5: Solve for x
    x = 39,440,915,867,410,328/129,205,005
  6. Step 6: Final answer
    x = 305,258,421.43

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Why These Related Problems?

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