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Finding the Third Proportional to 193,008,672 and 422,861,652

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Solution

The third proportional to 193,008,672 and 422,861,652 is: 926,445,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,008,672 : 422,861,652 = 422,861,652 : x
  2. Step 2: Convert to fraction form
    193,008,672/422,861,652 = 422,861,652/x
  3. Step 3: Cross multiply
    193,008,672x = 422,861,652 × 422,861,652
  4. Step 4: Simplify right side
    193,008,672x = 178,811,976,732,169,088
  5. Step 5: Solve for x
    x = 178,811,976,732,169,088/193,008,672
  6. Step 6: Final answer
    x = 926,445,298.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.