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Finding the Third Proportional to 49,588,704.35 and 115,797,741.59

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Solution

The third proportional to 49,588,704.35 and 115,797,741.59 is: 270,406,680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,588,704.35 : 115,797,741.59 = 115,797,741.59 : x
  2. Step 2: Convert to fraction form
    49,588,704.35/115,797,741.59 = 115,797,741.59/x
  3. Step 3: Cross multiply
    49,588,704.35x = 115,797,741.59 × 115,797,741.59
  4. Step 4: Simplify right side
    49,588,704.35x = 13,409,116,957,758,972
  5. Step 5: Solve for x
    x = 13,409,116,957,758,972/49,588,704.35
  6. Step 6: Final answer
    x = 270,406,680.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.