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Finding the Third Proportional to 131,674,692 and 286,529,451

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Solution

The third proportional to 131,674,692 and 286,529,451 is: 623,499,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,674,692 : 286,529,451 = 286,529,451 : x
  2. Step 2: Convert to fraction form
    131,674,692/286,529,451 = 286,529,451/x
  3. Step 3: Cross multiply
    131,674,692x = 286,529,451 × 286,529,451
  4. Step 4: Simplify right side
    131,674,692x = 82,099,126,290,361,408
  5. Step 5: Solve for x
    x = 82,099,126,290,361,408/131,674,692
  6. Step 6: Final answer
    x = 623,499,664.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.