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Finding the Third Proportional to 75,919,876 and 114,944,516

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Solution

The third proportional to 75,919,876 and 114,944,516 is: 174,028,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,919,876 : 114,944,516 = 114,944,516 : x
  2. Step 2: Convert to fraction form
    75,919,876/114,944,516 = 114,944,516/x
  3. Step 3: Cross multiply
    75,919,876x = 114,944,516 × 114,944,516
  4. Step 4: Simplify right side
    75,919,876x = 13,212,241,758,474,256
  5. Step 5: Solve for x
    x = 13,212,241,758,474,256/75,919,876
  6. Step 6: Final answer
    x = 174,028,758.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.