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Finding the Third Proportional to 229,410,698 and 350,699,253

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Solution

The third proportional to 229,410,698 and 350,699,253 is: 536,112,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,410,698 : 350,699,253 = 350,699,253 : x
  2. Step 2: Convert to fraction form
    229,410,698/350,699,253 = 350,699,253/x
  3. Step 3: Cross multiply
    229,410,698x = 350,699,253 × 350,699,253
  4. Step 4: Simplify right side
    229,410,698x = 122,989,966,054,758,016
  5. Step 5: Solve for x
    x = 122,989,966,054,758,016/229,410,698
  6. Step 6: Final answer
    x = 536,112,601.23

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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.