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Finding the Third Proportional to 136,508,858 and 193,155,826

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Solution

The third proportional to 136,508,858 and 193,155,826 is: 273,309,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,508,858 : 193,155,826 = 193,155,826 : x
  2. Step 2: Convert to fraction form
    136,508,858/193,155,826 = 193,155,826/x
  3. Step 3: Cross multiply
    136,508,858x = 193,155,826 × 193,155,826
  4. Step 4: Simplify right side
    136,508,858x = 37,309,173,117,742,272
  5. Step 5: Solve for x
    x = 37,309,173,117,742,272/136,508,858
  6. Step 6: Final answer
    x = 273,309,539.50

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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.