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Finding the Third Proportional to 242,118,414 and 339,740,064

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Solution

The third proportional to 242,118,414 and 339,740,064 is: 476,722,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,118,414 : 339,740,064 = 339,740,064 : x
  2. Step 2: Convert to fraction form
    242,118,414/339,740,064 = 339,740,064/x
  3. Step 3: Cross multiply
    242,118,414x = 339,740,064 × 339,740,064
  4. Step 4: Simplify right side
    242,118,414x = 115,423,311,086,724,096
  5. Step 5: Solve for x
    x = 115,423,311,086,724,096/242,118,414
  6. Step 6: Final answer
    x = 476,722,563.89

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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.