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Finding the Third Proportional to 83,454,350 and 127,659,942

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Solution

The third proportional to 83,454,350 and 127,659,942 is: 195,281,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,454,350 : 127,659,942 = 127,659,942 : x
  2. Step 2: Convert to fraction form
    83,454,350/127,659,942 = 127,659,942/x
  3. Step 3: Cross multiply
    83,454,350x = 127,659,942 × 127,659,942
  4. Step 4: Simplify right side
    83,454,350x = 16,297,060,791,443,364
  5. Step 5: Solve for x
    x = 16,297,060,791,443,364/83,454,350
  6. Step 6: Final answer
    x = 195,281,142.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.