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Finding the Third Proportional to 231,465,408.75 and 352,624,574.25

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Solution

The third proportional to 231,465,408.75 and 352,624,574.25 is: 537,203,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,465,408.75 : 352,624,574.25 = 352,624,574.25 : x
  2. Step 2: Convert to fraction form
    231,465,408.75/352,624,574.25 = 352,624,574.25/x
  3. Step 3: Cross multiply
    231,465,408.75x = 352,624,574.25 × 352,624,574.25
  4. Step 4: Simplify right side
    231,465,408.75x = 124,344,090,364,993,760
  5. Step 5: Solve for x
    x = 124,344,090,364,993,760/231,465,408.75
  6. Step 6: Final answer
    x = 537,203,770.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.