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Finding the Third Proportional to 226,678,170 and 480,596,758

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Solution

The third proportional to 226,678,170 and 480,596,758 is: 1,018,947,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,678,170 : 480,596,758 = 480,596,758 : x
  2. Step 2: Convert to fraction form
    226,678,170/480,596,758 = 480,596,758/x
  3. Step 3: Cross multiply
    226,678,170x = 480,596,758 × 480,596,758
  4. Step 4: Simplify right side
    226,678,170x = 230,973,243,800,110,560
  5. Step 5: Solve for x
    x = 230,973,243,800,110,560/226,678,170
  6. Step 6: Final answer
    x = 1,018,947,893.39

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.