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Finding the Third Proportional to 230,281,384.50 and 329,305,092.75

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Solution

The third proportional to 230,281,384.50 and 329,305,092.75 is: 470,910,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,281,384.50 : 329,305,092.75 = 329,305,092.75 : x
  2. Step 2: Convert to fraction form
    230,281,384.50/329,305,092.75 = 329,305,092.75/x
  3. Step 3: Cross multiply
    230,281,384.50x = 329,305,092.75 × 329,305,092.75
  4. Step 4: Simplify right side
    230,281,384.50x = 108,441,844,111,086,096
  5. Step 5: Solve for x
    x = 108,441,844,111,086,096/230,281,384.50
  6. Step 6: Final answer
    x = 470,910,162.13

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.