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Finding the Third Proportional to 123,418,135.69 and 257,051,517.19

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Solution

The third proportional to 123,418,135.69 and 257,051,517.19 is: 535,379,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,418,135.69 : 257,051,517.19 = 257,051,517.19 : x
  2. Step 2: Convert to fraction form
    123,418,135.69/257,051,517.19 = 257,051,517.19/x
  3. Step 3: Cross multiply
    123,418,135.69x = 257,051,517.19 × 257,051,517.19
  4. Step 4: Simplify right side
    123,418,135.69x = 66,075,482,488,395,608
  5. Step 5: Solve for x
    x = 66,075,482,488,395,608/123,418,135.69
  6. Step 6: Final answer
    x = 535,379,035.83

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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.