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Finding the Third Proportional to 184,629,078 and 292,355,451

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Solution

The third proportional to 184,629,078 and 292,355,451 is: 462,937,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,629,078 : 292,355,451 = 292,355,451 : x
  2. Step 2: Convert to fraction form
    184,629,078/292,355,451 = 292,355,451/x
  3. Step 3: Cross multiply
    184,629,078x = 292,355,451 × 292,355,451
  4. Step 4: Simplify right side
    184,629,078x = 85,471,709,729,413,408
  5. Step 5: Solve for x
    x = 85,471,709,729,413,408/184,629,078
  6. Step 6: Final answer
    x = 462,937,423.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.