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Finding the Third Proportional to 226,377,256 and 485,028,752

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Solution

The third proportional to 226,377,256 and 485,028,752 is: 1,039,207,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,377,256 : 485,028,752 = 485,028,752 : x
  2. Step 2: Convert to fraction form
    226,377,256/485,028,752 = 485,028,752/x
  3. Step 3: Cross multiply
    226,377,256x = 485,028,752 × 485,028,752
  4. Step 4: Simplify right side
    226,377,256x = 235,252,890,266,677,504
  5. Step 5: Solve for x
    x = 235,252,890,266,677,504/226,377,256
  6. Step 6: Final answer
    x = 1,039,207,270.30

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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.