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Finding the Third Proportional to 102,723,048 and 227,594,574

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Solution

The third proportional to 102,723,048 and 227,594,574 is: 504,261,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,723,048 : 227,594,574 = 227,594,574 : x
  2. Step 2: Convert to fraction form
    102,723,048/227,594,574 = 227,594,574/x
  3. Step 3: Cross multiply
    102,723,048x = 227,594,574 × 227,594,574
  4. Step 4: Simplify right side
    102,723,048x = 51,799,290,114,241,472
  5. Step 5: Solve for x
    x = 51,799,290,114,241,472/102,723,048
  6. Step 6: Final answer
    x = 504,261,615.31

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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.