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Finding the Third Proportional to 300,818,511,676.50 and 455,096,705,754.75

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Solution

The third proportional to 300,818,511,676.50 and 455,096,705,754.75 is: 688,498,225,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,818,511,676.50 : 455,096,705,754.75 = 455,096,705,754.75 : x
  2. Step 2: Convert to fraction form
    300,818,511,676.50/455,096,705,754.75 = 455,096,705,754.75/x
  3. Step 3: Cross multiply
    300,818,511,676.50x = 455,096,705,754.75 × 455,096,705,754.75
  4. Step 4: Simplify right side
    300,818,511,676.50x = 207,113,011,588,825,503,236,096
  5. Step 5: Solve for x
    x = 207,113,011,588,825,503,236,096/300,818,511,676.50
  6. Step 6: Final answer
    x = 688,498,225,839.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.