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Finding the Third Proportional to 146,325,132 and 213,994,228.50

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Solution

The third proportional to 146,325,132 and 213,994,228.50 is: 312,957,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,325,132 : 213,994,228.50 = 213,994,228.50 : x
  2. Step 2: Convert to fraction form
    146,325,132/213,994,228.50 = 213,994,228.50/x
  3. Step 3: Cross multiply
    146,325,132x = 213,994,228.50 × 213,994,228.50
  4. Step 4: Simplify right side
    146,325,132x = 45,793,529,831,310,216
  5. Step 5: Solve for x
    x = 45,793,529,831,310,216/146,325,132
  6. Step 6: Final answer
    x = 312,957,379.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.