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Finding the Third Proportional to 226,415,232 and 485,120,412

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Solution

The third proportional to 226,415,232 and 485,120,412 is: 1,039,425,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,415,232 : 485,120,412 = 485,120,412 : x
  2. Step 2: Convert to fraction form
    226,415,232/485,120,412 = 485,120,412/x
  3. Step 3: Cross multiply
    226,415,232x = 485,120,412 × 485,120,412
  4. Step 4: Simplify right side
    226,415,232x = 235,341,814,139,049,728
  5. Step 5: Solve for x
    x = 235,341,814,139,049,728/226,415,232
  6. Step 6: Final answer
    x = 1,039,425,713.81

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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.