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Finding the Third Proportional to 83,464,146.75 and 178,414,659.75

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Solution

The third proportional to 83,464,146.75 and 178,414,659.75 is: 381,382,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,464,146.75 : 178,414,659.75 = 178,414,659.75 : x
  2. Step 2: Convert to fraction form
    83,464,146.75/178,414,659.75 = 178,414,659.75/x
  3. Step 3: Cross multiply
    83,464,146.75x = 178,414,659.75 × 178,414,659.75
  4. Step 4: Simplify right side
    83,464,146.75x = 31,831,790,813,708,272
  5. Step 5: Solve for x
    x = 31,831,790,813,708,272/83,464,146.75
  6. Step 6: Final answer
    x = 381,382,809.90

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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.