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Finding the Third Proportional to 107,512,926 and 166,023,117

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Solution

The third proportional to 107,512,926 and 166,023,117 is: 256,375,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,512,926 : 166,023,117 = 166,023,117 : x
  2. Step 2: Convert to fraction form
    107,512,926/166,023,117 = 166,023,117/x
  3. Step 3: Cross multiply
    107,512,926x = 166,023,117 × 166,023,117
  4. Step 4: Simplify right side
    107,512,926x = 27,563,675,378,395,688
  5. Step 5: Solve for x
    x = 27,563,675,378,395,688/107,512,926
  6. Step 6: Final answer
    x = 256,375,455.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.