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Finding the Third Proportional to 40,214,697.75 and 85,919,220

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Solution

The third proportional to 40,214,697.75 and 85,919,220 is: 183,567,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,214,697.75 : 85,919,220 = 85,919,220 : x
  2. Step 2: Convert to fraction form
    40,214,697.75/85,919,220 = 85,919,220/x
  3. Step 3: Cross multiply
    40,214,697.75x = 85,919,220 × 85,919,220
  4. Step 4: Simplify right side
    40,214,697.75x = 7,382,112,365,408,400
  5. Step 5: Solve for x
    x = 7,382,112,365,408,400/40,214,697.75
  6. Step 6: Final answer
    x = 183,567,520.79

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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.