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Finding the Third Proportional to 231,791,268 and 491,217,465

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Solution

The third proportional to 231,791,268 and 491,217,465 is: 1,040,999,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,791,268 : 491,217,465 = 491,217,465 : x
  2. Step 2: Convert to fraction form
    231,791,268/491,217,465 = 491,217,465/x
  3. Step 3: Cross multiply
    231,791,268x = 491,217,465 × 491,217,465
  4. Step 4: Simplify right side
    231,791,268x = 241,294,597,921,026,240
  5. Step 5: Solve for x
    x = 241,294,597,921,026,240/231,791,268
  6. Step 6: Final answer
    x = 1,040,999,516.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.