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Finding the Third Proportional to 146,493,519,152 and 314,183,188,972

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Solution

The third proportional to 146,493,519,152 and 314,183,188,972 is: 673,825,550,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,493,519,152 : 314,183,188,972 = 314,183,188,972 : x
  2. Step 2: Convert to fraction form
    146,493,519,152/314,183,188,972 = 314,183,188,972/x
  3. Step 3: Cross multiply
    146,493,519,152x = 314,183,188,972 × 314,183,188,972
  4. Step 4: Simplify right side
    146,493,519,152x = 98,711,076,232,615,463,747,584
  5. Step 5: Solve for x
    x = 98,711,076,232,615,463,747,584/146,493,519,152
  6. Step 6: Final answer
    x = 673,825,550,809.48

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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.