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Finding the Third Proportional to 146,680,056.50 and 310,844,881

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Solution

The third proportional to 146,680,056.50 and 310,844,881 is: 658,743,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,680,056.50 : 310,844,881 = 310,844,881 : x
  2. Step 2: Convert to fraction form
    146,680,056.50/310,844,881 = 310,844,881/x
  3. Step 3: Cross multiply
    146,680,056.50x = 310,844,881 × 310,844,881
  4. Step 4: Simplify right side
    146,680,056.50x = 96,624,540,043,904,160
  5. Step 5: Solve for x
    x = 96,624,540,043,904,160/146,680,056.50
  6. Step 6: Final answer
    x = 658,743,542.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.