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Finding the Third Proportional to 46,179,724 and 100,397,276

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Solution

The third proportional to 46,179,724 and 100,397,276 is: 218,269,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,179,724 : 100,397,276 = 100,397,276 : x
  2. Step 2: Convert to fraction form
    46,179,724/100,397,276 = 100,397,276/x
  3. Step 3: Cross multiply
    46,179,724x = 100,397,276 × 100,397,276
  4. Step 4: Simplify right side
    46,179,724x = 10,079,613,028,220,176
  5. Step 5: Solve for x
    x = 10,079,613,028,220,176/46,179,724
  6. Step 6: Final answer
    x = 218,269,234.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.