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Finding the Third Proportional to 133,774,716 and 204,660,339

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Solution

The third proportional to 133,774,716 and 204,660,339 is: 313,107,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,774,716 : 204,660,339 = 204,660,339 : x
  2. Step 2: Convert to fraction form
    133,774,716/204,660,339 = 204,660,339/x
  3. Step 3: Cross multiply
    133,774,716x = 204,660,339 × 204,660,339
  4. Step 4: Simplify right side
    133,774,716x = 41,885,854,359,594,920
  5. Step 5: Solve for x
    x = 41,885,854,359,594,920/133,774,716
  6. Step 6: Final answer
    x = 313,107,406.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.