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Finding the Third Proportional to 235,669,211.44 and 512,130,825.28

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Solution

The third proportional to 235,669,211.44 and 512,130,825.28 is: 1,112,907,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,669,211.44 : 512,130,825.28 = 512,130,825.28 : x
  2. Step 2: Convert to fraction form
    235,669,211.44/512,130,825.28 = 512,130,825.28/x
  3. Step 3: Cross multiply
    235,669,211.44x = 512,130,825.28 × 512,130,825.28
  4. Step 4: Simplify right side
    235,669,211.44x = 262,277,982,203,254,208
  5. Step 5: Solve for x
    x = 262,277,982,203,254,208/235,669,211.44
  6. Step 6: Final answer
    x = 1,112,907,284.76

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