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Finding the Third Proportional to 93,147,128,656 and 202,614,598,096

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Solution

The third proportional to 93,147,128,656 and 202,614,598,096 is: 440,729,370,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,147,128,656 : 202,614,598,096 = 202,614,598,096 : x
  2. Step 2: Convert to fraction form
    93,147,128,656/202,614,598,096 = 202,614,598,096/x
  3. Step 3: Cross multiply
    93,147,128,656x = 202,614,598,096 × 202,614,598,096
  4. Step 4: Simplify right side
    93,147,128,656x = 41,052,675,361,603,609,165,824
  5. Step 5: Solve for x
    x = 41,052,675,361,603,609,165,824/93,147,128,656
  6. Step 6: Final answer
    x = 440,729,370,340.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.