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Finding the Third Proportional to 46,179,706.50 and 100,397,250

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Solution

The third proportional to 46,179,706.50 and 100,397,250 is: 218,269,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,179,706.50 : 100,397,250 = 100,397,250 : x
  2. Step 2: Convert to fraction form
    46,179,706.50/100,397,250 = 100,397,250/x
  3. Step 3: Cross multiply
    46,179,706.50x = 100,397,250 × 100,397,250
  4. Step 4: Simplify right side
    46,179,706.50x = 10,079,607,807,562,500
  5. Step 5: Solve for x
    x = 10,079,607,807,562,500/46,179,706.50
  6. Step 6: Final answer
    x = 218,269,204.62

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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.