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Finding the Third Proportional to 178,570,190.25 and 364,314,560.63

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Solution

The third proportional to 178,570,190.25 and 364,314,560.63 is: 743,265,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,570,190.25 : 364,314,560.63 = 364,314,560.63 : x
  2. Step 2: Convert to fraction form
    178,570,190.25/364,314,560.63 = 364,314,560.63/x
  3. Step 3: Cross multiply
    178,570,190.25x = 364,314,560.63 × 364,314,560.63
  4. Step 4: Simplify right side
    178,570,190.25x = 132,725,099,083,386,800
  5. Step 5: Solve for x
    x = 132,725,099,083,386,800/178,570,190.25
  6. Step 6: Final answer
    x = 743,265,709.12

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.