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Finding the Third Proportional to 230,281,416 and 329,305,140

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Solution

The third proportional to 230,281,416 and 329,305,140 is: 470,910,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,281,416 : 329,305,140 = 329,305,140 : x
  2. Step 2: Convert to fraction form
    230,281,416/329,305,140 = 329,305,140/x
  3. Step 3: Cross multiply
    230,281,416x = 329,305,140 × 329,305,140
  4. Step 4: Simplify right side
    230,281,416x = 108,441,875,230,419,600
  5. Step 5: Solve for x
    x = 108,441,875,230,419,600/230,281,416
  6. Step 6: Final answer
    x = 470,910,232.85

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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.