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Finding the Third Proportional to 105,920,007 and 228,560,670

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Solution

The third proportional to 105,920,007 and 228,560,670 is: 493,202,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,920,007 : 228,560,670 = 228,560,670 : x
  2. Step 2: Convert to fraction form
    105,920,007/228,560,670 = 228,560,670/x
  3. Step 3: Cross multiply
    105,920,007x = 228,560,670 × 228,560,670
  4. Step 4: Simplify right side
    105,920,007x = 52,239,979,870,848,896
  5. Step 5: Solve for x
    x = 52,239,979,870,848,896/105,920,007
  6. Step 6: Final answer
    x = 493,202,194.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.