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Finding the Third Proportional to 181,427,844 and 280,163,682

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Solution

The third proportional to 181,427,844 and 280,163,682 is: 432,633,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,427,844 : 280,163,682 = 280,163,682 : x
  2. Step 2: Convert to fraction form
    181,427,844/280,163,682 = 280,163,682/x
  3. Step 3: Cross multiply
    181,427,844x = 280,163,682 × 280,163,682
  4. Step 4: Simplify right side
    181,427,844x = 78,491,688,711,797,120
  5. Step 5: Solve for x
    x = 78,491,688,711,797,120/181,427,844
  6. Step 6: Final answer
    x = 432,633,089.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.