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Finding the Third Proportional to 96,233,714 and 227,094,341

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Solution

The third proportional to 96,233,714 and 227,094,341 is: 535,901,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,233,714 : 227,094,341 = 227,094,341 : x
  2. Step 2: Convert to fraction form
    96,233,714/227,094,341 = 227,094,341/x
  3. Step 3: Cross multiply
    96,233,714x = 227,094,341 × 227,094,341
  4. Step 4: Simplify right side
    96,233,714x = 51,571,839,714,224,280
  5. Step 5: Solve for x
    x = 51,571,839,714,224,280/96,233,714
  6. Step 6: Final answer
    x = 535,901,999.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.