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Finding the Third Proportional to 181,427,846 and 280,163,685

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Solution

The third proportional to 181,427,846 and 280,163,685 is: 432,633,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,427,846 : 280,163,685 = 280,163,685 : x
  2. Step 2: Convert to fraction form
    181,427,846/280,163,685 = 280,163,685/x
  3. Step 3: Cross multiply
    181,427,846x = 280,163,685 × 280,163,685
  4. Step 4: Simplify right side
    181,427,846x = 78,491,690,392,779,232
  5. Step 5: Solve for x
    x = 78,491,690,392,779,232/181,427,846
  6. Step 6: Final answer
    x = 432,633,094.22

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Why These Related Problems?

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