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Finding the Third Proportional to 184,203,414 and 403,016,103

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Solution

The third proportional to 184,203,414 and 403,016,103 is: 881,753,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,203,414 : 403,016,103 = 403,016,103 : x
  2. Step 2: Convert to fraction form
    184,203,414/403,016,103 = 403,016,103/x
  3. Step 3: Cross multiply
    184,203,414x = 403,016,103 × 403,016,103
  4. Step 4: Simplify right side
    184,203,414x = 162,421,979,277,306,624
  5. Step 5: Solve for x
    x = 162,421,979,277,306,624/184,203,414
  6. Step 6: Final answer
    x = 881,753,360.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.