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Finding the Third Proportional to 181,566,231 and 389,582,724

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Solution

The third proportional to 181,566,231 and 389,582,724 is: 835,919,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,566,231 : 389,582,724 = 389,582,724 : x
  2. Step 2: Convert to fraction form
    181,566,231/389,582,724 = 389,582,724/x
  3. Step 3: Cross multiply
    181,566,231x = 389,582,724 × 389,582,724
  4. Step 4: Simplify right side
    181,566,231x = 151,774,698,839,260,160
  5. Step 5: Solve for x
    x = 151,774,698,839,260,160/181,566,231
  6. Step 6: Final answer
    x = 835,919,201.51

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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.