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Finding the Third Proportional to 128,992,624 and 280,659,224

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Solution

The third proportional to 128,992,624 and 280,659,224 is: 610,651,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,992,624 : 280,659,224 = 280,659,224 : x
  2. Step 2: Convert to fraction form
    128,992,624/280,659,224 = 280,659,224/x
  3. Step 3: Cross multiply
    128,992,624x = 280,659,224 × 280,659,224
  4. Step 4: Simplify right side
    128,992,624x = 78,769,600,016,282,176
  5. Step 5: Solve for x
    x = 78,769,600,016,282,176/128,992,624
  6. Step 6: Final answer
    x = 610,651,970.43

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