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Finding the Third Proportional to 227,438,388 and 491,191,176

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Solution

The third proportional to 227,438,388 and 491,191,176 is: 1,060,809,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,438,388 : 491,191,176 = 491,191,176 : x
  2. Step 2: Convert to fraction form
    227,438,388/491,191,176 = 491,191,176/x
  3. Step 3: Cross multiply
    227,438,388x = 491,191,176 × 491,191,176
  4. Step 4: Simplify right side
    227,438,388x = 241,268,771,380,262,976
  5. Step 5: Solve for x
    x = 241,268,771,380,262,976/227,438,388
  6. Step 6: Final answer
    x = 1,060,809,362.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.