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Finding the Third Proportional to 47,706,448.66 and 103,860,517.52

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Solution

The third proportional to 47,706,448.66 and 103,860,517.52 is: 226,112,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706,448.66 : 103,860,517.52 = 103,860,517.52 : x
  2. Step 2: Convert to fraction form
    47,706,448.66/103,860,517.52 = 103,860,517.52/x
  3. Step 3: Cross multiply
    47,706,448.66x = 103,860,517.52 × 103,860,517.52
  4. Step 4: Simplify right side
    47,706,448.66x = 10,787,007,099,019,542
  5. Step 5: Solve for x
    x = 10,787,007,099,019,542/47,706,448.66
  6. Step 6: Final answer
    x = 226,112,137.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.