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Finding the Third Proportional to 231,791,276 and 491,217,484

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Solution

The third proportional to 231,791,276 and 491,217,484 is: 1,040,999,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,791,276 : 491,217,484 = 491,217,484 : x
  2. Step 2: Convert to fraction form
    231,791,276/491,217,484 = 491,217,484/x
  3. Step 3: Cross multiply
    231,791,276x = 491,217,484 × 491,217,484
  4. Step 4: Simplify right side
    231,791,276x = 241,294,616,587,290,240
  5. Step 5: Solve for x
    x = 241,294,616,587,290,240/231,791,276
  6. Step 6: Final answer
    x = 1,040,999,561.12

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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.