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Finding the Third Proportional to 242,119,020 and 339,740,966

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Solution

The third proportional to 242,119,020 and 339,740,966 is: 476,723,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,119,020 : 339,740,966 = 339,740,966 : x
  2. Step 2: Convert to fraction form
    242,119,020/339,740,966 = 339,740,966/x
  3. Step 3: Cross multiply
    242,119,020x = 339,740,966 × 339,740,966
  4. Step 4: Simplify right side
    242,119,020x = 115,423,923,978,613,152
  5. Step 5: Solve for x
    x = 115,423,923,978,613,152/242,119,020
  6. Step 6: Final answer
    x = 476,723,902.07

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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.