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Finding the Third Proportional to 50,233,460 and 108,497,512

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Solution

The third proportional to 50,233,460 and 108,497,512 is: 234,340,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,233,460 : 108,497,512 = 108,497,512 : x
  2. Step 2: Convert to fraction form
    50,233,460/108,497,512 = 108,497,512/x
  3. Step 3: Cross multiply
    50,233,460x = 108,497,512 × 108,497,512
  4. Step 4: Simplify right side
    50,233,460x = 11,771,710,110,190,144
  5. Step 5: Solve for x
    x = 11,771,710,110,190,144/50,233,460
  6. Step 6: Final answer
    x = 234,340,021.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.