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Finding the Third Proportional to 172,557,768 and 242,714,028

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Solution

The third proportional to 172,557,768 and 242,714,028 is: 341,393,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,557,768 : 242,714,028 = 242,714,028 : x
  2. Step 2: Convert to fraction form
    172,557,768/242,714,028 = 242,714,028/x
  3. Step 3: Cross multiply
    172,557,768x = 242,714,028 × 242,714,028
  4. Step 4: Simplify right side
    172,557,768x = 58,910,099,387,984,784
  5. Step 5: Solve for x
    x = 58,910,099,387,984,784/172,557,768
  6. Step 6: Final answer
    x = 341,393,494.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.