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Finding the Third Proportional to 31,834,200 and 68,206,972.50

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Solution

The third proportional to 31,834,200 and 68,206,972.50 is: 146,138,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834,200 : 68,206,972.50 = 68,206,972.50 : x
  2. Step 2: Convert to fraction form
    31,834,200/68,206,972.50 = 68,206,972.50/x
  3. Step 3: Cross multiply
    31,834,200x = 68,206,972.50 × 68,206,972.50
  4. Step 4: Simplify right side
    31,834,200x = 4,652,191,097,615,756
  5. Step 5: Solve for x
    x = 4,652,191,097,615,756/31,834,200
  6. Step 6: Final answer
    x = 146,138,150.09

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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.