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Finding the Third Proportional to 175,672,665 and 381,586,740

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Solution

The third proportional to 175,672,665 and 381,586,740 is: 828,862,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,672,665 : 381,586,740 = 381,586,740 : x
  2. Step 2: Convert to fraction form
    175,672,665/381,586,740 = 381,586,740/x
  3. Step 3: Cross multiply
    175,672,665x = 381,586,740 × 381,586,740
  4. Step 4: Simplify right side
    175,672,665x = 145,608,440,143,827,584
  5. Step 5: Solve for x
    x = 145,608,440,143,827,584/175,672,665
  6. Step 6: Final answer
    x = 828,862,248.68

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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.