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Finding the Third Proportional to 210,233,104 and 449,520,224

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Solution

The third proportional to 210,233,104 and 449,520,224 is: 961,163,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,233,104 : 449,520,224 = 449,520,224 : x
  2. Step 2: Convert to fraction form
    210,233,104/449,520,224 = 449,520,224/x
  3. Step 3: Cross multiply
    210,233,104x = 449,520,224 × 449,520,224
  4. Step 4: Simplify right side
    210,233,104x = 202,068,431,785,010,176
  5. Step 5: Solve for x
    x = 202,068,431,785,010,176/210,233,104
  6. Step 6: Final answer
    x = 961,163,717.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.