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Finding the Third Proportional to 226,814,664.38 and 356,394,657.38

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Solution

The third proportional to 226,814,664.38 and 356,394,657.38 is: 560,004,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,814,664.38 : 356,394,657.38 = 356,394,657.38 : x
  2. Step 2: Convert to fraction form
    226,814,664.38/356,394,657.38 = 356,394,657.38/x
  3. Step 3: Cross multiply
    226,814,664.38x = 356,394,657.38 × 356,394,657.38
  4. Step 4: Simplify right side
    226,814,664.38x = 127,017,151,805,443,648
  5. Step 5: Solve for x
    x = 127,017,151,805,443,648/226,814,664.38
  6. Step 6: Final answer
    x = 560,004,143.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.