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Finding the Third Proportional to 192,468,674 and 449,109,125

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Solution

The third proportional to 192,468,674 and 449,109,125 is: 1,047,957,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468,674 : 449,109,125 = 449,109,125 : x
  2. Step 2: Convert to fraction form
    192,468,674/449,109,125 = 449,109,125/x
  3. Step 3: Cross multiply
    192,468,674x = 449,109,125 × 449,109,125
  4. Step 4: Simplify right side
    192,468,674x = 201,699,006,158,265,632
  5. Step 5: Solve for x
    x = 201,699,006,158,265,632/192,468,674
  6. Step 6: Final answer
    x = 1,047,957,581.70

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.