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Finding the Third Proportional to 242,119,022 and 339,740,969

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Solution

The third proportional to 242,119,022 and 339,740,969 is: 476,723,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,119,022 : 339,740,969 = 339,740,969 : x
  2. Step 2: Convert to fraction form
    242,119,022/339,740,969 = 339,740,969/x
  3. Step 3: Cross multiply
    242,119,022x = 339,740,969 × 339,740,969
  4. Step 4: Simplify right side
    242,119,022x = 115,423,926,017,058,960
  5. Step 5: Solve for x
    x = 115,423,926,017,058,960/242,119,022
  6. Step 6: Final answer
    x = 476,723,906.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.