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Finding the Third Proportional to 120,924,369 and 182,388,747.38

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Solution

The third proportional to 120,924,369 and 182,388,747.38 is: 275,094,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,924,369 : 182,388,747.38 = 182,388,747.38 : x
  2. Step 2: Convert to fraction form
    120,924,369/182,388,747.38 = 182,388,747.38/x
  3. Step 3: Cross multiply
    120,924,369x = 182,388,747.38 × 182,388,747.38
  4. Step 4: Simplify right side
    120,924,369x = 33,265,655,169,021,568
  5. Step 5: Solve for x
    x = 33,265,655,169,021,568/120,924,369
  6. Step 6: Final answer
    x = 275,094,717.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.