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Finding the Third Proportional to 141,143,132 and 305,743,704

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Solution

The third proportional to 141,143,132 and 305,743,704 is: 662,300,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,143,132 : 305,743,704 = 305,743,704 : x
  2. Step 2: Convert to fraction form
    141,143,132/305,743,704 = 305,743,704/x
  3. Step 3: Cross multiply
    141,143,132x = 305,743,704 × 305,743,704
  4. Step 4: Simplify right side
    141,143,132x = 93,479,212,535,639,616
  5. Step 5: Solve for x
    x = 93,479,212,535,639,616/141,143,132
  6. Step 6: Final answer
    x = 662,300,823.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.