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Finding the Third Proportional to 136,508,862 and 193,155,832

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Solution

The third proportional to 136,508,862 and 193,155,832 is: 273,309,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,508,862 : 193,155,832 = 193,155,832 : x
  2. Step 2: Convert to fraction form
    136,508,862/193,155,832 = 193,155,832/x
  3. Step 3: Cross multiply
    136,508,862x = 193,155,832 × 193,155,832
  4. Step 4: Simplify right side
    136,508,862x = 37,309,175,435,612,224
  5. Step 5: Solve for x
    x = 37,309,175,435,612,224/136,508,862
  6. Step 6: Final answer
    x = 273,309,548.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.