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Finding the Third Proportional to 96,062,860 and 206,715,164

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Solution

The third proportional to 96,062,860 and 206,715,164 is: 444,824,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,062,860 : 206,715,164 = 206,715,164 : x
  2. Step 2: Convert to fraction form
    96,062,860/206,715,164 = 206,715,164/x
  3. Step 3: Cross multiply
    96,062,860x = 206,715,164 × 206,715,164
  4. Step 4: Simplify right side
    96,062,860x = 42,731,159,027,546,896
  5. Step 5: Solve for x
    x = 42,731,159,027,546,896/96,062,860
  6. Step 6: Final answer
    x = 444,824,972.19

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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.