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Finding the Third Proportional to 226,308,633.75 and 346,040,358.19

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Solution

The third proportional to 226,308,633.75 and 346,040,358.19 is: 529,117,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,308,633.75 : 346,040,358.19 = 346,040,358.19 : x
  2. Step 2: Convert to fraction form
    226,308,633.75/346,040,358.19 = 346,040,358.19/x
  3. Step 3: Cross multiply
    226,308,633.75x = 346,040,358.19 × 346,040,358.19
  4. Step 4: Simplify right side
    226,308,633.75x = 119,743,929,494,533,296
  5. Step 5: Solve for x
    x = 119,743,929,494,533,296/226,308,633.75
  6. Step 6: Final answer
    x = 529,117,813.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.