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Finding the Third Proportional to 111,517,735 and 232,199,957

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Solution

The third proportional to 111,517,735 and 232,199,957 is: 483,482,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,517,735 : 232,199,957 = 232,199,957 : x
  2. Step 2: Convert to fraction form
    111,517,735/232,199,957 = 232,199,957/x
  3. Step 3: Cross multiply
    111,517,735x = 232,199,957 × 232,199,957
  4. Step 4: Simplify right side
    111,517,735x = 53,916,820,030,801,848
  5. Step 5: Solve for x
    x = 53,916,820,030,801,848/111,517,735
  6. Step 6: Final answer
    x = 483,482,022.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.