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Finding the Third Proportional to 231,791,284 and 491,217,500

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Solution

The third proportional to 231,791,284 and 491,217,500 is: 1,040,999,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,791,284 : 491,217,500 = 491,217,500 : x
  2. Step 2: Convert to fraction form
    231,791,284/491,217,500 = 491,217,500/x
  3. Step 3: Cross multiply
    231,791,284x = 491,217,500 × 491,217,500
  4. Step 4: Simplify right side
    231,791,284x = 241,294,632,306,249,984
  5. Step 5: Solve for x
    x = 241,294,632,306,249,984/231,791,284
  6. Step 6: Final answer
    x = 1,040,999,593.01

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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.