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Finding the Third Proportional to 31,145,239.13 and 68,152,274.44

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Solution

The third proportional to 31,145,239.13 and 68,152,274.44 is: 149,131,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145,239.13 : 68,152,274.44 = 68,152,274.44 : x
  2. Step 2: Convert to fraction form
    31,145,239.13/68,152,274.44 = 68,152,274.44/x
  3. Step 3: Cross multiply
    31,145,239.13x = 68,152,274.44 × 68,152,274.44
  4. Step 4: Simplify right side
    31,145,239.13x = 4,644,732,511,004,316
  5. Step 5: Solve for x
    x = 4,644,732,511,004,316/31,145,239.13
  6. Step 6: Final answer
    x = 149,131,380.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.