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Finding the Third Proportional to 40,100,861.25 and 85,956,998.63

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Solution

The third proportional to 40,100,861.25 and 85,956,998.63 is: 184,250,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,100,861.25 : 85,956,998.63 = 85,956,998.63 : x
  2. Step 2: Convert to fraction form
    40,100,861.25/85,956,998.63 = 85,956,998.63/x
  3. Step 3: Cross multiply
    40,100,861.25x = 85,956,998.63 × 85,956,998.63
  4. Step 4: Simplify right side
    40,100,861.25x = 7,388,605,612,618,252
  5. Step 5: Solve for x
    x = 7,388,605,612,618,252/40,100,861.25
  6. Step 6: Final answer
    x = 184,250,546.80

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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.