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Finding the Third Proportional to 105,854,137.50 and 229,297,956

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Solution

The third proportional to 105,854,137.50 and 229,297,956 is: 496,698,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854,137.50 : 229,297,956 = 229,297,956 : x
  2. Step 2: Convert to fraction form
    105,854,137.50/229,297,956 = 229,297,956/x
  3. Step 3: Cross multiply
    105,854,137.50x = 229,297,956 × 229,297,956
  4. Step 4: Simplify right side
    105,854,137.50x = 52,577,552,625,777,936
  5. Step 5: Solve for x
    x = 52,577,552,625,777,936/105,854,137.50
  6. Step 6: Final answer
    x = 496,698,134.50

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Why These Related Problems?

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