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Finding the Third Proportional to 226,388,214 and 485,078,508

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Solution

The third proportional to 226,388,214 and 485,078,508 is: 1,039,370,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,388,214 : 485,078,508 = 485,078,508 : x
  2. Step 2: Convert to fraction form
    226,388,214/485,078,508 = 485,078,508/x
  3. Step 3: Cross multiply
    226,388,214x = 485,078,508 × 485,078,508
  4. Step 4: Simplify right side
    226,388,214x = 235,301,158,923,506,048
  5. Step 5: Solve for x
    x = 235,301,158,923,506,048/226,388,214
  6. Step 6: Final answer
    x = 1,039,370,180.83

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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.