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Finding the Third Proportional to 52,297,439.25 and 114,011,361

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Solution

The third proportional to 52,297,439.25 and 114,011,361 is: 248,551,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297,439.25 : 114,011,361 = 114,011,361 : x
  2. Step 2: Convert to fraction form
    52,297,439.25/114,011,361 = 114,011,361/x
  3. Step 3: Cross multiply
    52,297,439.25x = 114,011,361 × 114,011,361
  4. Step 4: Simplify right side
    52,297,439.25x = 12,998,590,437,072,320
  5. Step 5: Solve for x
    x = 12,998,590,437,072,320/52,297,439.25
  6. Step 6: Final answer
    x = 248,551,183.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.