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Finding the Third Proportional to 102,723,098 and 227,594,672

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Solution

The third proportional to 102,723,098 and 227,594,672 is: 504,261,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,723,098 : 227,594,672 = 227,594,672 : x
  2. Step 2: Convert to fraction form
    102,723,098/227,594,672 = 227,594,672/x
  3. Step 3: Cross multiply
    102,723,098x = 227,594,672 × 227,594,672
  4. Step 4: Simplify right side
    102,723,098x = 51,799,334,722,787,584
  5. Step 5: Solve for x
    x = 51,799,334,722,787,584/102,723,098
  6. Step 6: Final answer
    x = 504,261,804.12

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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.