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Finding the Third Proportional to 164,034,843 and 230,735,595

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Solution

The third proportional to 164,034,843 and 230,735,595 is: 324,558,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034,843 : 230,735,595 = 230,735,595 : x
  2. Step 2: Convert to fraction form
    164,034,843/230,735,595 = 230,735,595/x
  3. Step 3: Cross multiply
    164,034,843x = 230,735,595 × 230,735,595
  4. Step 4: Simplify right side
    164,034,843x = 53,238,914,800,004,024
  5. Step 5: Solve for x
    x = 53,238,914,800,004,024/164,034,843
  6. Step 6: Final answer
    x = 324,558,574.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.