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Finding the Third Proportional to 102,723,057 and 227,594,595

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Solution

The third proportional to 102,723,057 and 227,594,595 is: 504,261,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,723,057 : 227,594,595 = 227,594,595 : x
  2. Step 2: Convert to fraction form
    102,723,057/227,594,595 = 227,594,595/x
  3. Step 3: Cross multiply
    102,723,057x = 227,594,595 × 227,594,595
  4. Step 4: Simplify right side
    102,723,057x = 51,799,299,673,214,024
  5. Step 5: Solve for x
    x = 51,799,299,673,214,024/102,723,057
  6. Step 6: Final answer
    x = 504,261,664.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.