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Finding the Third Proportional to 55,758,548.25 and 120,782,446.88

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Solution

The third proportional to 55,758,548.25 and 120,782,446.88 is: 261,635,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758,548.25 : 120,782,446.88 = 120,782,446.88 : x
  2. Step 2: Convert to fraction form
    55,758,548.25/120,782,446.88 = 120,782,446.88/x
  3. Step 3: Cross multiply
    55,758,548.25x = 120,782,446.88 × 120,782,446.88
  4. Step 4: Simplify right side
    55,758,548.25x = 14,588,399,473,112,198
  5. Step 5: Solve for x
    x = 14,588,399,473,112,198/55,758,548.25
  6. Step 6: Final answer
    x = 261,635,209.86

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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.