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Finding the Third Proportional to 31,795,537.50 and 68,873,230.50

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Solution

The third proportional to 31,795,537.50 and 68,873,230.50 is: 149,188,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795,537.50 : 68,873,230.50 = 68,873,230.50 : x
  2. Step 2: Convert to fraction form
    31,795,537.50/68,873,230.50 = 68,873,230.50/x
  3. Step 3: Cross multiply
    31,795,537.50x = 68,873,230.50 × 68,873,230.50
  4. Step 4: Simplify right side
    31,795,537.50x = 4,743,521,879,506,130
  5. Step 5: Solve for x
    x = 4,743,521,879,506,130/31,795,537.50
  6. Step 6: Final answer
    x = 149,188,290.32

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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.