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Finding the Third Proportional to 93,422,198 and 218,276,415

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Solution

The third proportional to 93,422,198 and 218,276,415 is: 509,992,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,422,198 : 218,276,415 = 218,276,415 : x
  2. Step 2: Convert to fraction form
    93,422,198/218,276,415 = 218,276,415/x
  3. Step 3: Cross multiply
    93,422,198x = 218,276,415 × 218,276,415
  4. Step 4: Simplify right side
    93,422,198x = 47,644,593,345,252,224
  5. Step 5: Solve for x
    x = 47,644,593,345,252,224/93,422,198
  6. Step 6: Final answer
    x = 509,992,211.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.