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Finding the Third Proportional to 117,049,568 and 257,268,376

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Solution

The third proportional to 117,049,568 and 257,268,376 is: 565,461,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,049,568 : 257,268,376 = 257,268,376 : x
  2. Step 2: Convert to fraction form
    117,049,568/257,268,376 = 257,268,376/x
  3. Step 3: Cross multiply
    117,049,568x = 257,268,376 × 257,268,376
  4. Step 4: Simplify right side
    117,049,568x = 66,187,017,289,677,376
  5. Step 5: Solve for x
    x = 66,187,017,289,677,376/117,049,568
  6. Step 6: Final answer
    x = 565,461,440.15

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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.