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Finding the Third Proportional to 41,204,052 and 89,575,186.50

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Solution

The third proportional to 41,204,052 and 89,575,186.50 is: 194,731,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204,052 : 89,575,186.50 = 89,575,186.50 : x
  2. Step 2: Convert to fraction form
    41,204,052/89,575,186.50 = 89,575,186.50/x
  3. Step 3: Cross multiply
    41,204,052x = 89,575,186.50 × 89,575,186.50
  4. Step 4: Simplify right side
    41,204,052x = 8,023,714,036,509,782
  5. Step 5: Solve for x
    x = 8,023,714,036,509,782/41,204,052
  6. Step 6: Final answer
    x = 194,731,188.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.