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Finding the Third Proportional to 227,438,370 and 491,191,137

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Solution

The third proportional to 227,438,370 and 491,191,137 is: 1,060,809,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,438,370 : 491,191,137 = 491,191,137 : x
  2. Step 2: Convert to fraction form
    227,438,370/491,191,137 = 491,191,137/x
  3. Step 3: Cross multiply
    227,438,370x = 491,191,137 × 491,191,137
  4. Step 4: Simplify right side
    227,438,370x = 241,268,733,067,352,768
  5. Step 5: Solve for x
    x = 241,268,733,067,352,768/227,438,370
  6. Step 6: Final answer
    x = 1,060,809,277.99

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