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Finding the Third Proportional to 236,189,226 and 332,461,541.25

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Solution

The third proportional to 236,189,226 and 332,461,541.25 is: 467,975,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,189,226 : 332,461,541.25 = 332,461,541.25 : x
  2. Step 2: Convert to fraction form
    236,189,226/332,461,541.25 = 332,461,541.25/x
  3. Step 3: Cross multiply
    236,189,226x = 332,461,541.25 × 332,461,541.25
  4. Step 4: Simplify right side
    236,189,226x = 110,530,676,410,325,456
  5. Step 5: Solve for x
    x = 110,530,676,410,325,456/236,189,226
  6. Step 6: Final answer
    x = 467,975,098.96

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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.