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Finding the Third Proportional to 229,410,700 and 350,699,256

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Solution

The third proportional to 229,410,700 and 350,699,256 is: 536,112,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,410,700 : 350,699,256 = 350,699,256 : x
  2. Step 2: Convert to fraction form
    229,410,700/350,699,256 = 350,699,256/x
  3. Step 3: Cross multiply
    229,410,700x = 350,699,256 × 350,699,256
  4. Step 4: Simplify right side
    229,410,700x = 122,989,968,158,953,536
  5. Step 5: Solve for x
    x = 122,989,968,158,953,536/229,410,700
  6. Step 6: Final answer
    x = 536,112,605.73

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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.