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Finding the Third Proportional to 193,917,814 and 272,105,085

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Solution

The third proportional to 193,917,814 and 272,105,085 is: 381,817,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,917,814 : 272,105,085 = 272,105,085 : x
  2. Step 2: Convert to fraction form
    193,917,814/272,105,085 = 272,105,085/x
  3. Step 3: Cross multiply
    193,917,814x = 272,105,085 × 272,105,085
  4. Step 4: Simplify right side
    193,917,814x = 74,041,177,282,857,232
  5. Step 5: Solve for x
    x = 74,041,177,282,857,232/193,917,814
  6. Step 6: Final answer
    x = 381,817,305.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.