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Finding the Third Proportional to 96,963,512 and 209,310,380

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Solution

The third proportional to 96,963,512 and 209,310,380 is: 451,828,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,963,512 : 209,310,380 = 209,310,380 : x
  2. Step 2: Convert to fraction form
    96,963,512/209,310,380 = 209,310,380/x
  3. Step 3: Cross multiply
    96,963,512x = 209,310,380 × 209,310,380
  4. Step 4: Simplify right side
    96,963,512x = 43,810,835,175,744,400
  5. Step 5: Solve for x
    x = 43,810,835,175,744,400/96,963,512
  6. Step 6: Final answer
    x = 451,828,056.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.