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Finding the Third Proportional to 221,562,232 and 512,876,448

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Solution

The third proportional to 221,562,232 and 512,876,448 is: 1,187,216,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,562,232 : 512,876,448 = 512,876,448 : x
  2. Step 2: Convert to fraction form
    221,562,232/512,876,448 = 512,876,448/x
  3. Step 3: Cross multiply
    221,562,232x = 512,876,448 × 512,876,448
  4. Step 4: Simplify right side
    221,562,232x = 263,042,250,913,096,704
  5. Step 5: Solve for x
    x = 263,042,250,913,096,704/221,562,232
  6. Step 6: Final answer
    x = 1,187,216,108.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.