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Finding the Third Proportional to 151,210,848 and 329,789,832

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Solution

The third proportional to 151,210,848 and 329,789,832 is: 719,269,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,210,848 : 329,789,832 = 329,789,832 : x
  2. Step 2: Convert to fraction form
    151,210,848/329,789,832 = 329,789,832/x
  3. Step 3: Cross multiply
    151,210,848x = 329,789,832 × 329,789,832
  4. Step 4: Simplify right side
    151,210,848x = 108,761,333,290,588,224
  5. Step 5: Solve for x
    x = 108,761,333,290,588,224/151,210,848
  6. Step 6: Final answer
    x = 719,269,382.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.