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Finding the Third Proportional to 254,237,231.25 and 359,844,697.13

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Solution

The third proportional to 254,237,231.25 and 359,844,697.13 is: 509,320,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,237,231.25 : 359,844,697.13 = 359,844,697.13 : x
  2. Step 2: Convert to fraction form
    254,237,231.25/359,844,697.13 = 359,844,697.13/x
  3. Step 3: Cross multiply
    254,237,231.25x = 359,844,697.13 × 359,844,697.13
  4. Step 4: Simplify right side
    254,237,231.25x = 129,488,206,048,982,976
  5. Step 5: Solve for x
    x = 129,488,206,048,982,976/254,237,231.25
  6. Step 6: Final answer
    x = 509,320,391.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.