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Finding the Third Proportional to 219,911,811 and 323,136,090

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Solution

The third proportional to 219,911,811 and 323,136,090 is: 474,812,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,911,811 : 323,136,090 = 323,136,090 : x
  2. Step 2: Convert to fraction form
    219,911,811/323,136,090 = 323,136,090/x
  3. Step 3: Cross multiply
    219,911,811x = 323,136,090 × 323,136,090
  4. Step 4: Simplify right side
    219,911,811x = 104,416,932,660,488,096
  5. Step 5: Solve for x
    x = 104,416,932,660,488,096/219,911,811
  6. Step 6: Final answer
    x = 474,812,754.19

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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.