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Finding the Third Proportional to 100,328,964 and 146,622,172

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Solution

The third proportional to 100,328,964 and 146,622,172 is: 214,275,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,328,964 : 146,622,172 = 146,622,172 : x
  2. Step 2: Convert to fraction form
    100,328,964/146,622,172 = 146,622,172/x
  3. Step 3: Cross multiply
    100,328,964x = 146,622,172 × 146,622,172
  4. Step 4: Simplify right side
    100,328,964x = 21,498,061,321,997,584
  5. Step 5: Solve for x
    x = 21,498,061,321,997,584/100,328,964
  6. Step 6: Final answer
    x = 214,275,723.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.