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Finding the Third Proportional to 219,911,816 and 323,136,096

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Solution

The third proportional to 219,911,816 and 323,136,096 is: 474,812,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,911,816 : 323,136,096 = 323,136,096 : x
  2. Step 2: Convert to fraction form
    219,911,816/323,136,096 = 323,136,096/x
  3. Step 3: Cross multiply
    219,911,816x = 323,136,096 × 323,136,096
  4. Step 4: Simplify right side
    219,911,816x = 104,416,936,538,121,216
  5. Step 5: Solve for x
    x = 104,416,936,538,121,216/219,911,816
  6. Step 6: Final answer
    x = 474,812,761.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.