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Finding the Third Proportional to 251,028,398 and 543,750,736

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Solution

The third proportional to 251,028,398 and 543,750,736 is: 1,177,814,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,028,398 : 543,750,736 = 543,750,736 : x
  2. Step 2: Convert to fraction form
    251,028,398/543,750,736 = 543,750,736/x
  3. Step 3: Cross multiply
    251,028,398x = 543,750,736 × 543,750,736
  4. Step 4: Simplify right side
    251,028,398x = 295,664,862,900,541,696
  5. Step 5: Solve for x
    x = 295,664,862,900,541,696/251,028,398
  6. Step 6: Final answer
    x = 1,177,814,403.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.