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Finding the Third Proportional to 57,385,728 and 122,958,276

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Solution

The third proportional to 57,385,728 and 122,958,276 is: 263,458,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385,728 : 122,958,276 = 122,958,276 : x
  2. Step 2: Convert to fraction form
    57,385,728/122,958,276 = 122,958,276/x
  3. Step 3: Cross multiply
    57,385,728x = 122,958,276 × 122,958,276
  4. Step 4: Simplify right side
    57,385,728x = 15,118,737,636,892,176
  5. Step 5: Solve for x
    x = 15,118,737,636,892,176/57,385,728
  6. Step 6: Final answer
    x = 263,458,148.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.