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Finding the Third Proportional to 191,903,640 and 280,658,286

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Solution

The third proportional to 191,903,640 and 280,658,286 is: 410,461,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903,640 : 280,658,286 = 280,658,286 : x
  2. Step 2: Convert to fraction form
    191,903,640/280,658,286 = 280,658,286/x
  3. Step 3: Cross multiply
    191,903,640x = 280,658,286 × 280,658,286
  4. Step 4: Simplify right side
    191,903,640x = 78,769,073,500,457,792
  5. Step 5: Solve for x
    x = 78,769,073,500,457,792/191,903,640
  6. Step 6: Final answer
    x = 410,461,591.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.