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Finding the Third Proportional to 229,716,100 and 504,065,954

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Solution

The third proportional to 229,716,100 and 504,065,954 is: 1,106,071,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716,100 : 504,065,954 = 504,065,954 : x
  2. Step 2: Convert to fraction form
    229,716,100/504,065,954 = 504,065,954/x
  3. Step 3: Cross multiply
    229,716,100x = 504,065,954 × 504,065,954
  4. Step 4: Simplify right side
    229,716,100x = 254,082,485,981,930,112
  5. Step 5: Solve for x
    x = 254,082,485,981,930,112/229,716,100
  6. Step 6: Final answer
    x = 1,106,071,738.04

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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.