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Finding the Third Proportional to 80,690,197,251 and 176,580,658,914

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Solution

The third proportional to 80,690,197,251 and 176,580,658,914 is: 386,425,243,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,690,197,251 : 176,580,658,914 = 176,580,658,914 : x
  2. Step 2: Convert to fraction form
    80,690,197,251/176,580,658,914 = 176,580,658,914/x
  3. Step 3: Cross multiply
    80,690,197,251x = 176,580,658,914 × 176,580,658,914
  4. Step 4: Simplify right side
    80,690,197,251x = 31,180,729,102,502,406,914,048
  5. Step 5: Solve for x
    x = 31,180,729,102,502,406,914,048/80,690,197,251
  6. Step 6: Final answer
    x = 386,425,243,273.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.