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Finding the Third Proportional to 229,716,118 and 504,065,990

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Solution

The third proportional to 229,716,118 and 504,065,990 is: 1,106,071,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716,118 : 504,065,990 = 504,065,990 : x
  2. Step 2: Convert to fraction form
    229,716,118/504,065,990 = 504,065,990/x
  3. Step 3: Cross multiply
    229,716,118x = 504,065,990 × 504,065,990
  4. Step 4: Simplify right side
    229,716,118x = 254,082,522,274,680,096
  5. Step 5: Solve for x
    x = 254,082,522,274,680,096/229,716,118
  6. Step 6: Final answer
    x = 1,106,071,809.36

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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.