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Finding the Third Proportional to 129,205,995.75 and 198,598,564.13

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Solution

The third proportional to 129,205,995.75 and 198,598,564.13 is: 305,259,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,995.75 : 198,598,564.13 = 198,598,564.13 : x
  2. Step 2: Convert to fraction form
    129,205,995.75/198,598,564.13 = 198,598,564.13/x
  3. Step 3: Cross multiply
    129,205,995.75x = 198,598,564.13 × 198,598,564.13
  4. Step 4: Simplify right side
    129,205,995.75x = 39,441,389,672,511,736
  5. Step 5: Solve for x
    x = 39,441,389,672,511,736/129,205,995.75
  6. Step 6: Final answer
    x = 305,259,747.77

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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.