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Finding the Third Proportional to 229,410,758 and 350,699,351

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Solution

The third proportional to 229,410,758 and 350,699,351 is: 536,112,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,410,758 : 350,699,351 = 350,699,351 : x
  2. Step 2: Convert to fraction form
    229,410,758/350,699,351 = 350,699,351/x
  3. Step 3: Cross multiply
    229,410,758x = 350,699,351 × 350,699,351
  4. Step 4: Simplify right side
    229,410,758x = 122,990,034,791,821,200
  5. Step 5: Solve for x
    x = 122,990,034,791,821,200/229,410,758
  6. Step 6: Final answer
    x = 536,112,760.64

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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.