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Finding the Third Proportional to 119,968,337,243.25 and 257,991,496,713

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Solution

The third proportional to 119,968,337,243.25 and 257,991,496,713 is: 554,809,826,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,968,337,243.25 : 257,991,496,713 = 257,991,496,713 : x
  2. Step 2: Convert to fraction form
    119,968,337,243.25/257,991,496,713 = 257,991,496,713/x
  3. Step 3: Cross multiply
    119,968,337,243.25x = 257,991,496,713 × 257,991,496,713
  4. Step 4: Simplify right side
    119,968,337,243.25x = 66,559,612,376,213,891,317,760
  5. Step 5: Solve for x
    x = 66,559,612,376,213,891,317,760/119,968,337,243.25
  6. Step 6: Final answer
    x = 554,809,826,539.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.