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Finding the Third Proportional to 179,487,381.38 and 384,188,474.25

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Solution

The third proportional to 179,487,381.38 and 384,188,474.25 is: 822,346,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,487,381.38 : 384,188,474.25 = 384,188,474.25 : x
  2. Step 2: Convert to fraction form
    179,487,381.38/384,188,474.25 = 384,188,474.25/x
  3. Step 3: Cross multiply
    179,487,381.38x = 384,188,474.25 × 384,188,474.25
  4. Step 4: Simplify right side
    179,487,381.38x = 147,600,783,746,542,912
  5. Step 5: Solve for x
    x = 147,600,783,746,542,912/179,487,381.38
  6. Step 6: Final answer
    x = 822,346,298.75

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