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Finding the Third Proportional to 227,438,361 and 491,191,134

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Solution

The third proportional to 227,438,361 and 491,191,134 is: 1,060,809,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,438,361 : 491,191,134 = 491,191,134 : x
  2. Step 2: Convert to fraction form
    227,438,361/491,191,134 = 491,191,134/x
  3. Step 3: Cross multiply
    227,438,361x = 491,191,134 × 491,191,134
  4. Step 4: Simplify right side
    227,438,361x = 241,268,730,120,205,952
  5. Step 5: Solve for x
    x = 241,268,730,120,205,952/227,438,361
  6. Step 6: Final answer
    x = 1,060,809,307.01

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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.