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Finding the Third Proportional to 31,198,746 and 69,567,199.50

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Solution

The third proportional to 31,198,746 and 69,567,199.50 is: 155,121,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198,746 : 69,567,199.50 = 69,567,199.50 : x
  2. Step 2: Convert to fraction form
    31,198,746/69,567,199.50 = 69,567,199.50/x
  3. Step 3: Cross multiply
    31,198,746x = 69,567,199.50 × 69,567,199.50
  4. Step 4: Simplify right side
    31,198,746x = 4,839,595,246,272,800
  5. Step 5: Solve for x
    x = 4,839,595,246,272,800/31,198,746
  6. Step 6: Final answer
    x = 155,121,466.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.