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Finding the Third Proportional to 176,227,456.50 and 381,743,703

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Solution

The third proportional to 176,227,456.50 and 381,743,703 is: 826,932,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,227,456.50 : 381,743,703 = 381,743,703 : x
  2. Step 2: Convert to fraction form
    176,227,456.50/381,743,703 = 381,743,703/x
  3. Step 3: Cross multiply
    176,227,456.50x = 381,743,703 × 381,743,703
  4. Step 4: Simplify right side
    176,227,456.50x = 145,728,254,780,152,224
  5. Step 5: Solve for x
    x = 145,728,254,780,152,224/176,227,456.50
  6. Step 6: Final answer
    x = 826,932,747.45

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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.