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Finding the Third Proportional to 146,054,156 and 308,405,832

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Solution

The third proportional to 146,054,156 and 308,405,832 is: 651,225,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,054,156 : 308,405,832 = 308,405,832 : x
  2. Step 2: Convert to fraction form
    146,054,156/308,405,832 = 308,405,832/x
  3. Step 3: Cross multiply
    146,054,156x = 308,405,832 × 308,405,832
  4. Step 4: Simplify right side
    146,054,156x = 95,114,157,211,612,224
  5. Step 5: Solve for x
    x = 95,114,157,211,612,224/146,054,156
  6. Step 6: Final answer
    x = 651,225,270.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.