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Finding the Third Proportional to 117,986,059.69 and 178,618,110.19

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Solution

The third proportional to 117,986,059.69 and 178,618,110.19 is: 270,408,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,986,059.69 : 178,618,110.19 = 178,618,110.19 : x
  2. Step 2: Convert to fraction form
    117,986,059.69/178,618,110.19 = 178,618,110.19/x
  3. Step 3: Cross multiply
    117,986,059.69x = 178,618,110.19 × 178,618,110.19
  4. Step 4: Simplify right side
    117,986,059.69x = 31,904,429,286,953,892
  5. Step 5: Solve for x
    x = 31,904,429,286,953,892/117,986,059.69
  6. Step 6: Final answer
    x = 270,408,464.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.