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Finding the Third Proportional to 125,831,002 and 273,442,847.50

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Solution

The third proportional to 125,831,002 and 273,442,847.50 is: 594,217,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,831,002 : 273,442,847.50 = 273,442,847.50 : x
  2. Step 2: Convert to fraction form
    125,831,002/273,442,847.50 = 273,442,847.50/x
  3. Step 3: Cross multiply
    125,831,002x = 273,442,847.50 × 273,442,847.50
  4. Step 4: Simplify right side
    125,831,002x = 74,770,990,848,908,256
  5. Step 5: Solve for x
    x = 74,770,990,848,908,256/125,831,002
  6. Step 6: Final answer
    x = 594,217,558.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.