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Finding the Third Proportional to 219,911,807 and 323,136,084

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Solution

The third proportional to 219,911,807 and 323,136,084 is: 474,812,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,911,807 : 323,136,084 = 323,136,084 : x
  2. Step 2: Convert to fraction form
    219,911,807/323,136,084 = 323,136,084/x
  3. Step 3: Cross multiply
    219,911,807x = 323,136,084 × 323,136,084
  4. Step 4: Simplify right side
    219,911,807x = 104,416,928,782,855,056
  5. Step 5: Solve for x
    x = 104,416,928,782,855,056/219,911,807
  6. Step 6: Final answer
    x = 474,812,745.20

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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.