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Finding the Third Proportional to 106,061,670.75 and 228,332,832

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Solution

The third proportional to 106,061,670.75 and 228,332,832 is: 491,561,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,061,670.75 : 228,332,832 = 228,332,832 : x
  2. Step 2: Convert to fraction form
    106,061,670.75/228,332,832 = 228,332,832/x
  3. Step 3: Cross multiply
    106,061,670.75x = 228,332,832 × 228,332,832
  4. Step 4: Simplify right side
    106,061,670.75x = 52,135,882,169,140,224
  5. Step 5: Solve for x
    x = 52,135,882,169,140,224/106,061,670.75
  6. Step 6: Final answer
    x = 491,561,954.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.