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Finding the Third Proportional to 105,854,146 and 229,297,976

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Solution

The third proportional to 105,854,146 and 229,297,976 is: 496,698,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854,146 : 229,297,976 = 229,297,976 : x
  2. Step 2: Convert to fraction form
    105,854,146/229,297,976 = 229,297,976/x
  3. Step 3: Cross multiply
    105,854,146x = 229,297,976 × 229,297,976
  4. Step 4: Simplify right side
    105,854,146x = 52,577,561,797,696,576
  5. Step 5: Solve for x
    x = 52,577,561,797,696,576/105,854,146
  6. Step 6: Final answer
    x = 496,698,181.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.