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Finding the Third Proportional to 67,824,996.75 and 147,134,103.75

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Solution

The third proportional to 67,824,996.75 and 147,134,103.75 is: 319,180,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824,996.75 : 147,134,103.75 = 147,134,103.75 : x
  2. Step 2: Convert to fraction form
    67,824,996.75/147,134,103.75 = 147,134,103.75/x
  3. Step 3: Cross multiply
    67,824,996.75x = 147,134,103.75 × 147,134,103.75
  4. Step 4: Simplify right side
    67,824,996.75x = 21,648,444,486,315,764
  5. Step 5: Solve for x
    x = 21,648,444,486,315,764/67,824,996.75
  6. Step 6: Final answer
    x = 319,180,914.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.