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Finding the Third Proportional to 48,280,509 and 103,464,297

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Solution

The third proportional to 48,280,509 and 103,464,297 is: 221,722,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,280,509 : 103,464,297 = 103,464,297 : x
  2. Step 2: Convert to fraction form
    48,280,509/103,464,297 = 103,464,297/x
  3. Step 3: Cross multiply
    48,280,509x = 103,464,297 × 103,464,297
  4. Step 4: Simplify right side
    48,280,509x = 10,704,860,753,704,208
  5. Step 5: Solve for x
    x = 10,704,860,753,704,208/48,280,509
  6. Step 6: Final answer
    x = 221,722,201.68

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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.