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Finding the Third Proportional to 107,285,760 and 231,722,788

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Solution

The third proportional to 107,285,760 and 231,722,788 is: 500,490,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285,760 : 231,722,788 = 231,722,788 : x
  2. Step 2: Convert to fraction form
    107,285,760/231,722,788 = 231,722,788/x
  3. Step 3: Cross multiply
    107,285,760x = 231,722,788 × 231,722,788
  4. Step 4: Simplify right side
    107,285,760x = 53,695,450,478,492,944
  5. Step 5: Solve for x
    x = 53,695,450,478,492,944/107,285,760
  6. Step 6: Final answer
    x = 500,490,004.25

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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.