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Finding the Third Proportional to 140,197,788.56 and 305,082,671.06

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Solution

The third proportional to 140,197,788.56 and 305,082,671.06 is: 663,886,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,197,788.56 : 305,082,671.06 = 305,082,671.06 : x
  2. Step 2: Convert to fraction form
    140,197,788.56/305,082,671.06 = 305,082,671.06/x
  3. Step 3: Cross multiply
    140,197,788.56x = 305,082,671.06 × 305,082,671.06
  4. Step 4: Simplify right side
    140,197,788.56x = 93,075,436,182,629,568
  5. Step 5: Solve for x
    x = 93,075,436,182,629,568/140,197,788.56
  6. Step 6: Final answer
    x = 663,886,621.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.