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Finding the Third Proportional to 123,418,134.56 and 257,051,515.50

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Solution

The third proportional to 123,418,134.56 and 257,051,515.50 is: 535,379,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,418,134.56 : 257,051,515.50 = 257,051,515.50 : x
  2. Step 2: Convert to fraction form
    123,418,134.56/257,051,515.50 = 257,051,515.50/x
  3. Step 3: Cross multiply
    123,418,134.56x = 257,051,515.50 × 257,051,515.50
  4. Step 4: Simplify right side
    123,418,134.56x = 66,075,481,620,846,744
  5. Step 5: Solve for x
    x = 66,075,481,620,846,744/123,418,134.56
  6. Step 6: Final answer
    x = 535,379,033.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.