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Finding the Third Proportional to 48,280,504 and 103,464,287

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Solution

The third proportional to 48,280,504 and 103,464,287 is: 221,722,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,280,504 : 103,464,287 = 103,464,287 : x
  2. Step 2: Convert to fraction form
    48,280,504/103,464,287 = 103,464,287/x
  3. Step 3: Cross multiply
    48,280,504x = 103,464,287 × 103,464,287
  4. Step 4: Simplify right side
    48,280,504x = 10,704,858,684,418,368
  5. Step 5: Solve for x
    x = 10,704,858,684,418,368/48,280,504
  6. Step 6: Final answer
    x = 221,722,181.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.