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Finding the Third Proportional to 242,118,344 and 339,739,984

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Solution

The third proportional to 242,118,344 and 339,739,984 is: 476,722,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,118,344 : 339,739,984 = 339,739,984 : x
  2. Step 2: Convert to fraction form
    242,118,344/339,739,984 = 339,739,984/x
  3. Step 3: Cross multiply
    242,118,344x = 339,739,984 × 339,739,984
  4. Step 4: Simplify right side
    242,118,344x = 115,423,256,728,320,256
  5. Step 5: Solve for x
    x = 115,423,256,728,320,256/242,118,344
  6. Step 6: Final answer
    x = 476,722,477.20

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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.