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Finding the Third Proportional to 107,782,374 and 168,857,802

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Solution

The third proportional to 107,782,374 and 168,857,802 is: 264,541,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,782,374 : 168,857,802 = 168,857,802 : x
  2. Step 2: Convert to fraction form
    107,782,374/168,857,802 = 168,857,802/x
  3. Step 3: Cross multiply
    107,782,374x = 168,857,802 × 168,857,802
  4. Step 4: Simplify right side
    107,782,374x = 28,512,957,296,271,204
  5. Step 5: Solve for x
    x = 28,512,957,296,271,204/107,782,374
  6. Step 6: Final answer
    x = 264,541,930.54

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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.