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Finding the Third Proportional to 218,925,976 and 475,957,232

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Solution

The third proportional to 218,925,976 and 475,957,232 is: 1,034,757,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,925,976 : 475,957,232 = 475,957,232 : x
  2. Step 2: Convert to fraction form
    218,925,976/475,957,232 = 475,957,232/x
  3. Step 3: Cross multiply
    218,925,976x = 475,957,232 × 475,957,232
  4. Step 4: Simplify right side
    218,925,976x = 226,535,286,693,101,824
  5. Step 5: Solve for x
    x = 226,535,286,693,101,824/218,925,976
  6. Step 6: Final answer
    x = 1,034,757,459.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.