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Finding the Third Proportional to 172,557,759 and 242,714,010

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Solution

The third proportional to 172,557,759 and 242,714,010 is: 341,393,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,557,759 : 242,714,010 = 242,714,010 : x
  2. Step 2: Convert to fraction form
    172,557,759/242,714,010 = 242,714,010/x
  3. Step 3: Cross multiply
    172,557,759x = 242,714,010 × 242,714,010
  4. Step 4: Simplify right side
    172,557,759x = 58,910,090,650,280,096
  5. Step 5: Solve for x
    x = 58,910,090,650,280,096/172,557,759
  6. Step 6: Final answer
    x = 341,393,461.48

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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.