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Finding the Third Proportional to 123,419,719.50 and 263,241,937.50

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Solution

The third proportional to 123,419,719.50 and 263,241,937.50 is: 561,468,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419,719.50 : 263,241,937.50 = 263,241,937.50 : x
  2. Step 2: Convert to fraction form
    123,419,719.50/263,241,937.50 = 263,241,937.50/x
  3. Step 3: Cross multiply
    123,419,719.50x = 263,241,937.50 × 263,241,937.50
  4. Step 4: Simplify right side
    123,419,719.50x = 69,296,317,658,753,904
  5. Step 5: Solve for x
    x = 69,296,317,658,753,904/123,419,719.50
  6. Step 6: Final answer
    x = 561,468,766.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.