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Finding the Third Proportional to 97,568,900 and 192,670,216

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Solution

The third proportional to 97,568,900 and 192,670,216 is: 380,467,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,568,900 : 192,670,216 = 192,670,216 : x
  2. Step 2: Convert to fraction form
    97,568,900/192,670,216 = 192,670,216/x
  3. Step 3: Cross multiply
    97,568,900x = 192,670,216 × 192,670,216
  4. Step 4: Simplify right side
    97,568,900x = 37,121,812,133,486,656
  5. Step 5: Solve for x
    x = 37,121,812,133,486,656/97,568,900
  6. Step 6: Final answer
    x = 380,467,670.88

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.