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Finding the Third Proportional to 67,388,106 and 96,299,165

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Solution

The third proportional to 67,388,106 and 96,299,165 is: 137,613,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,388,106 : 96,299,165 = 96,299,165 : x
  2. Step 2: Convert to fraction form
    67,388,106/96,299,165 = 96,299,165/x
  3. Step 3: Cross multiply
    67,388,106x = 96,299,165 × 96,299,165
  4. Step 4: Simplify right side
    67,388,106x = 9,273,529,179,697,224
  5. Step 5: Solve for x
    x = 9,273,529,179,697,224/67,388,106
  6. Step 6: Final answer
    x = 137,613,738.24

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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.