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Finding the Third Proportional to 229,732,690 and 491,757,894

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Solution

The third proportional to 229,732,690 and 491,757,894 is: 1,052,640,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,732,690 : 491,757,894 = 491,757,894 : x
  2. Step 2: Convert to fraction form
    229,732,690/491,757,894 = 491,757,894/x
  3. Step 3: Cross multiply
    229,732,690x = 491,757,894 × 491,757,894
  4. Step 4: Simplify right side
    229,732,690x = 241,825,826,311,315,232
  5. Step 5: Solve for x
    x = 241,825,826,311,315,232/229,732,690
  6. Step 6: Final answer
    x = 1,052,640,032.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.