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Finding the Third Proportional to 67,388,108 and 96,299,168

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Solution

The third proportional to 67,388,108 and 96,299,168 is: 137,613,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,388,108 : 96,299,168 = 96,299,168 : x
  2. Step 2: Convert to fraction form
    67,388,108/96,299,168 = 96,299,168/x
  3. Step 3: Cross multiply
    67,388,108x = 96,299,168 × 96,299,168
  4. Step 4: Simplify right side
    67,388,108x = 9,273,529,757,492,224
  5. Step 5: Solve for x
    x = 9,273,529,757,492,224/67,388,108
  6. Step 6: Final answer
    x = 137,613,742.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.