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Finding the Third Proportional to 181,825,578 and 397,662,732

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Solution

The third proportional to 181,825,578 and 397,662,732 is: 869,710,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,825,578 : 397,662,732 = 397,662,732 : x
  2. Step 2: Convert to fraction form
    181,825,578/397,662,732 = 397,662,732/x
  3. Step 3: Cross multiply
    181,825,578x = 397,662,732 × 397,662,732
  4. Step 4: Simplify right side
    181,825,578x = 158,135,648,421,703,808
  5. Step 5: Solve for x
    x = 158,135,648,421,703,808/181,825,578
  6. Step 6: Final answer
    x = 869,710,687.36

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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.