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Finding the Third Proportional to 172,557,753.75 and 242,714,004.75

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Solution

The third proportional to 172,557,753.75 and 242,714,004.75 is: 341,393,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,557,753.75 : 242,714,004.75 = 242,714,004.75 : x
  2. Step 2: Convert to fraction form
    172,557,753.75/242,714,004.75 = 242,714,004.75/x
  3. Step 3: Cross multiply
    172,557,753.75x = 242,714,004.75 × 242,714,004.75
  4. Step 4: Simplify right side
    172,557,753.75x = 58,910,088,101,783,024
  5. Step 5: Solve for x
    x = 58,910,088,101,783,024/172,557,753.75
  6. Step 6: Final answer
    x = 341,393,457.10

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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.