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Finding the Third Proportional to 227,438,364 and 491,191,140

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Solution

The third proportional to 227,438,364 and 491,191,140 is: 1,060,809,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,438,364 : 491,191,140 = 491,191,140 : x
  2. Step 2: Convert to fraction form
    227,438,364/491,191,140 = 491,191,140/x
  3. Step 3: Cross multiply
    227,438,364x = 491,191,140 × 491,191,140
  4. Step 4: Simplify right side
    227,438,364x = 241,268,736,014,499,584
  5. Step 5: Solve for x
    x = 241,268,736,014,499,584/227,438,364
  6. Step 6: Final answer
    x = 1,060,809,318.93

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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.