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Finding the Third Proportional to 105,854,142.75 and 229,297,967.25

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Solution

The third proportional to 105,854,142.75 and 229,297,967.25 is: 496,698,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854,142.75 : 229,297,967.25 = 229,297,967.25 : x
  2. Step 2: Convert to fraction form
    105,854,142.75/229,297,967.25 = 229,297,967.25/x
  3. Step 3: Cross multiply
    105,854,142.75x = 229,297,967.25 × 229,297,967.25
  4. Step 4: Simplify right side
    105,854,142.75x = 52,577,557,784,982,072
  5. Step 5: Solve for x
    x = 52,577,557,784,982,072/105,854,142.75
  6. Step 6: Final answer
    x = 496,698,158.61

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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.