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Finding the Third Proportional to 129,205,898 and 198,598,377

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Solution

The third proportional to 129,205,898 and 198,598,377 is: 305,259,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,898 : 198,598,377 = 198,598,377 : x
  2. Step 2: Convert to fraction form
    129,205,898/198,598,377 = 198,598,377/x
  3. Step 3: Cross multiply
    129,205,898x = 198,598,377 × 198,598,377
  4. Step 4: Simplify right side
    129,205,898x = 39,441,315,347,034,128
  5. Step 5: Solve for x
    x = 39,441,315,347,034,128/129,205,898
  6. Step 6: Final answer
    x = 305,259,403.46

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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.