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Finding the Third Proportional to 110,536,143 and 173,377,296

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Solution

The third proportional to 110,536,143 and 173,377,296 is: 271,944,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536,143 : 173,377,296 = 173,377,296 : x
  2. Step 2: Convert to fraction form
    110,536,143/173,377,296 = 173,377,296/x
  3. Step 3: Cross multiply
    110,536,143x = 173,377,296 × 173,377,296
  4. Step 4: Simplify right side
    110,536,143x = 30,059,686,768,271,616
  5. Step 5: Solve for x
    x = 30,059,686,768,271,616/110,536,143
  6. Step 6: Final answer
    x = 271,944,415.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.