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Finding the Third Proportional to 46,178,453.25 and 100,394,746.88

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Solution

The third proportional to 46,178,453.25 and 100,394,746.88 is: 218,264,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,178,453.25 : 100,394,746.88 = 100,394,746.88 : x
  2. Step 2: Convert to fraction form
    46,178,453.25/100,394,746.88 = 100,394,746.88/x
  3. Step 3: Cross multiply
    46,178,453.25x = 100,394,746.88 × 100,394,746.88
  4. Step 4: Simplify right side
    46,178,453.25x = 10,079,105,200,095,322
  5. Step 5: Solve for x
    x = 10,079,105,200,095,322/46,178,453.25
  6. Step 6: Final answer
    x = 218,264,244.27

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