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Finding the Third Proportional to 229,944,021 and 504,405,699.75

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Solution

The third proportional to 229,944,021 and 504,405,699.75 is: 1,106,465,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,944,021 : 504,405,699.75 = 504,405,699.75 : x
  2. Step 2: Convert to fraction form
    229,944,021/504,405,699.75 = 504,405,699.75/x
  3. Step 3: Cross multiply
    229,944,021x = 504,405,699.75 × 504,405,699.75
  4. Step 4: Simplify right side
    229,944,021x = 254,425,109,940,287,136
  5. Step 5: Solve for x
    x = 254,425,109,940,287,136/229,944,021
  6. Step 6: Final answer
    x = 1,106,465,429.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.