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Finding the Third Proportional to 161,860,826.81 and 356,006,694.38

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Solution

The third proportional to 161,860,826.81 and 356,006,694.38 is: 783,023,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,860,826.81 : 356,006,694.38 = 356,006,694.38 : x
  2. Step 2: Convert to fraction form
    161,860,826.81/356,006,694.38 = 356,006,694.38/x
  3. Step 3: Cross multiply
    161,860,826.81x = 356,006,694.38 × 356,006,694.38
  4. Step 4: Simplify right side
    161,860,826.81x = 126,740,766,439,814,656
  5. Step 5: Solve for x
    x = 126,740,766,439,814,656/161,860,826.81
  6. Step 6: Final answer
    x = 783,023,100.37

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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.