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Finding the Third Proportional to 92,633,120 and 136,255,296

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Solution

The third proportional to 92,633,120 and 136,255,296 is: 200,419,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,633,120 : 136,255,296 = 136,255,296 : x
  2. Step 2: Convert to fraction form
    92,633,120/136,255,296 = 136,255,296/x
  3. Step 3: Cross multiply
    92,633,120x = 136,255,296 × 136,255,296
  4. Step 4: Simplify right side
    92,633,120x = 18,565,505,688,047,616
  5. Step 5: Solve for x
    x = 18,565,505,688,047,616/92,633,120
  6. Step 6: Final answer
    x = 200,419,738.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.