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Finding the Third Proportional to 230,986,574 and 481,080,420

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Solution

The third proportional to 230,986,574 and 481,080,420 is: 1,001,955,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,986,574 : 481,080,420 = 481,080,420 : x
  2. Step 2: Convert to fraction form
    230,986,574/481,080,420 = 481,080,420/x
  3. Step 3: Cross multiply
    230,986,574x = 481,080,420 × 481,080,420
  4. Step 4: Simplify right side
    230,986,574x = 231,438,370,507,376,384
  5. Step 5: Solve for x
    x = 231,438,370,507,376,384/230,986,574
  6. Step 6: Final answer
    x = 1,001,955,942.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.