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Finding the Third Proportional to 48,198,919.50 and 106,175,511

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Solution

The third proportional to 48,198,919.50 and 106,175,511 is: 233,889,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198,919.50 : 106,175,511 = 106,175,511 : x
  2. Step 2: Convert to fraction form
    48,198,919.50/106,175,511 = 106,175,511/x
  3. Step 3: Cross multiply
    48,198,919.50x = 106,175,511 × 106,175,511
  4. Step 4: Simplify right side
    48,198,919.50x = 11,273,239,136,111,120
  5. Step 5: Solve for x
    x = 11,273,239,136,111,120/48,198,919.50
  6. Step 6: Final answer
    x = 233,889,872.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.