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Finding the Third Proportional to 86,315,379 and 184,942,461

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Solution

The third proportional to 86,315,379 and 184,942,461 is: 396,264,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,315,379 : 184,942,461 = 184,942,461 : x
  2. Step 2: Convert to fraction form
    86,315,379/184,942,461 = 184,942,461/x
  3. Step 3: Cross multiply
    86,315,379x = 184,942,461 × 184,942,461
  4. Step 4: Simplify right side
    86,315,379x = 34,203,713,880,736,520
  5. Step 5: Solve for x
    x = 34,203,713,880,736,520/86,315,379
  6. Step 6: Final answer
    x = 396,264,423.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.