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Finding the Third Proportional to 117,049,576 and 257,268,392

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Solution

The third proportional to 117,049,576 and 257,268,392 is: 565,461,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,049,576 : 257,268,392 = 257,268,392 : x
  2. Step 2: Convert to fraction form
    117,049,576/257,268,392 = 257,268,392/x
  3. Step 3: Cross multiply
    117,049,576x = 257,268,392 × 257,268,392
  4. Step 4: Simplify right side
    117,049,576x = 66,187,025,522,265,664
  5. Step 5: Solve for x
    x = 66,187,025,522,265,664/117,049,576
  6. Step 6: Final answer
    x = 565,461,471.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.