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Finding the Third Proportional to 83,464,149 and 178,414,664

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Solution

The third proportional to 83,464,149 and 178,414,664 is: 381,382,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,464,149 : 178,414,664 = 178,414,664 : x
  2. Step 2: Convert to fraction form
    83,464,149/178,414,664 = 178,414,664/x
  3. Step 3: Cross multiply
    83,464,149x = 178,414,664 × 178,414,664
  4. Step 4: Simplify right side
    83,464,149x = 31,831,792,330,232,896
  5. Step 5: Solve for x
    x = 31,831,792,330,232,896/83,464,149
  6. Step 6: Final answer
    x = 381,382,817.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.