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Finding the Third Proportional to 89,002,608 and 184,826,496

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Solution

The third proportional to 89,002,608 and 184,826,496 is: 383,818,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,002,608 : 184,826,496 = 184,826,496 : x
  2. Step 2: Convert to fraction form
    89,002,608/184,826,496 = 184,826,496/x
  3. Step 3: Cross multiply
    89,002,608x = 184,826,496 × 184,826,496
  4. Step 4: Simplify right side
    89,002,608x = 34,160,833,623,638,016
  5. Step 5: Solve for x
    x = 34,160,833,623,638,016/89,002,608
  6. Step 6: Final answer
    x = 383,818,344.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.