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Finding the Third Proportional to 161,420,568,927 and 346,796,469,900

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Solution

The third proportional to 161,420,568,927 and 346,796,469,900 is: 745,058,652,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,420,568,927 : 346,796,469,900 = 346,796,469,900 : x
  2. Step 2: Convert to fraction form
    161,420,568,927/346,796,469,900 = 346,796,469,900/x
  3. Step 3: Cross multiply
    161,420,568,927x = 346,796,469,900 × 346,796,469,900
  4. Step 4: Simplify right side
    161,420,568,927x = 120,267,791,535,101,609,771,008
  5. Step 5: Solve for x
    x = 120,267,791,535,101,609,771,008/161,420,568,927
  6. Step 6: Final answer
    x = 745,058,652,280.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.