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Finding the Third Proportional to 76,888,096 and 168,380,976

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Solution

The third proportional to 76,888,096 and 168,380,976 is: 368,745,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,888,096 : 168,380,976 = 168,380,976 : x
  2. Step 2: Convert to fraction form
    76,888,096/168,380,976 = 168,380,976/x
  3. Step 3: Cross multiply
    76,888,096x = 168,380,976 × 168,380,976
  4. Step 4: Simplify right side
    76,888,096x = 28,352,153,078,712,576
  5. Step 5: Solve for x
    x = 28,352,153,078,712,576/76,888,096
  6. Step 6: Final answer
    x = 368,745,677.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.