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Finding the Third Proportional to 48,117,800 and 103,747,280

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Solution

The third proportional to 48,117,800 and 103,747,280 is: 223,690,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,117,800 : 103,747,280 = 103,747,280 : x
  2. Step 2: Convert to fraction form
    48,117,800/103,747,280 = 103,747,280/x
  3. Step 3: Cross multiply
    48,117,800x = 103,747,280 × 103,747,280
  4. Step 4: Simplify right side
    48,117,800x = 10,763,498,107,398,400
  5. Step 5: Solve for x
    x = 10,763,498,107,398,400/48,117,800
  6. Step 6: Final answer
    x = 223,690,569.96

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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.