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Finding the Third Proportional to 181,544,900 and 393,336,712

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Solution

The third proportional to 181,544,900 and 393,336,712 is: 852,206,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,544,900 : 393,336,712 = 393,336,712 : x
  2. Step 2: Convert to fraction form
    181,544,900/393,336,712 = 393,336,712/x
  3. Step 3: Cross multiply
    181,544,900x = 393,336,712 × 393,336,712
  4. Step 4: Simplify right side
    181,544,900x = 154,713,769,006,970,944
  5. Step 5: Solve for x
    x = 154,713,769,006,970,944/181,544,900
  6. Step 6: Final answer
    x = 852,206,638.73

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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.