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Finding the Third Proportional to 251,825,010.75 and 541,913,775.75

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Solution

The third proportional to 251,825,010.75 and 541,913,775.75 is: 1,166,169,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,825,010.75 : 541,913,775.75 = 541,913,775.75 : x
  2. Step 2: Convert to fraction form
    251,825,010.75/541,913,775.75 = 541,913,775.75/x
  3. Step 3: Cross multiply
    251,825,010.75x = 541,913,775.75 × 541,913,775.75
  4. Step 4: Simplify right side
    251,825,010.75x = 293,670,540,347,621,312
  5. Step 5: Solve for x
    x = 293,670,540,347,621,312/251,825,010.75
  6. Step 6: Final answer
    x = 1,166,169,076.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.