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Finding the Third Proportional to 164,729,452 and 248,782,385

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Solution

The third proportional to 164,729,452 and 248,782,385 is: 375,723,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,729,452 : 248,782,385 = 248,782,385 : x
  2. Step 2: Convert to fraction form
    164,729,452/248,782,385 = 248,782,385/x
  3. Step 3: Cross multiply
    164,729,452x = 248,782,385 × 248,782,385
  4. Step 4: Simplify right side
    164,729,452x = 61,892,675,086,288,224
  5. Step 5: Solve for x
    x = 61,892,675,086,288,224/164,729,452
  6. Step 6: Final answer
    x = 375,723,189.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.