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Finding the Third Proportional to 83,441,979 and 181,248,396.75

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Solution

The third proportional to 83,441,979 and 181,248,396.75 is: 393,698,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,441,979 : 181,248,396.75 = 181,248,396.75 : x
  2. Step 2: Convert to fraction form
    83,441,979/181,248,396.75 = 181,248,396.75/x
  3. Step 3: Cross multiply
    83,441,979x = 181,248,396.75 × 181,248,396.75
  4. Step 4: Simplify right side
    83,441,979x = 32,850,981,324,445,412
  5. Step 5: Solve for x
    x = 32,850,981,324,445,412/83,441,979
  6. Step 6: Final answer
    x = 393,698,492.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.