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Finding the Third Proportional to 80,753,796 and 176,124,042

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Solution

The third proportional to 80,753,796 and 176,124,042 is: 384,126,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,753,796 : 176,124,042 = 176,124,042 : x
  2. Step 2: Convert to fraction form
    80,753,796/176,124,042 = 176,124,042/x
  3. Step 3: Cross multiply
    80,753,796x = 176,124,042 × 176,124,042
  4. Step 4: Simplify right side
    80,753,796x = 31,019,678,170,417,764
  5. Step 5: Solve for x
    x = 31,019,678,170,417,764/80,753,796
  6. Step 6: Final answer
    x = 384,126,563.79

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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.