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Finding the Third Proportional to 181,951,575.75 and 260,192,872.69

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Solution

The third proportional to 181,951,575.75 and 260,192,872.69 is: 372,078,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,951,575.75 : 260,192,872.69 = 260,192,872.69 : x
  2. Step 2: Convert to fraction form
    181,951,575.75/260,192,872.69 = 260,192,872.69/x
  3. Step 3: Cross multiply
    181,951,575.75x = 260,192,872.69 × 260,192,872.69
  4. Step 4: Simplify right side
    181,951,575.75x = 67,700,330,997,373,584
  5. Step 5: Solve for x
    x = 67,700,330,997,373,584/181,951,575.75
  6. Step 6: Final answer
    x = 372,078,838.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.