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Finding the Third Proportional to 146,680,042 and 310,844,852

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Solution

The third proportional to 146,680,042 and 310,844,852 is: 658,743,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,680,042 : 310,844,852 = 310,844,852 : x
  2. Step 2: Convert to fraction form
    146,680,042/310,844,852 = 310,844,852/x
  3. Step 3: Cross multiply
    146,680,042x = 310,844,852 × 310,844,852
  4. Step 4: Simplify right side
    146,680,042x = 96,624,522,014,901,904
  5. Step 5: Solve for x
    x = 96,624,522,014,901,904/146,680,042
  6. Step 6: Final answer
    x = 658,743,484.78

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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.