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Finding the Third Proportional to 229,732,746 and 491,757,996

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Solution

The third proportional to 229,732,746 and 491,757,996 is: 1,052,640,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,732,746 : 491,757,996 = 491,757,996 : x
  2. Step 2: Convert to fraction form
    229,732,746/491,757,996 = 491,757,996/x
  3. Step 3: Cross multiply
    229,732,746x = 491,757,996 × 491,757,996
  4. Step 4: Simplify right side
    229,732,746x = 241,825,926,629,936,000
  5. Step 5: Solve for x
    x = 241,825,926,629,936,000/229,732,746
  6. Step 6: Final answer
    x = 1,052,640,212.77

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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.