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Finding the Third Proportional to 141,016,360 and 298,962,512

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Solution

The third proportional to 141,016,360 and 298,962,512 is: 633,817,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,016,360 : 298,962,512 = 298,962,512 : x
  2. Step 2: Convert to fraction form
    141,016,360/298,962,512 = 298,962,512/x
  3. Step 3: Cross multiply
    141,016,360x = 298,962,512 × 298,962,512
  4. Step 4: Simplify right side
    141,016,360x = 89,378,583,581,350,144
  5. Step 5: Solve for x
    x = 89,378,583,581,350,144/141,016,360
  6. Step 6: Final answer
    x = 633,817,122.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.