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Finding the Third Proportional to 229,820,670 and 365,867,298

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Solution

The third proportional to 229,820,670 and 365,867,298 is: 582,449,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,820,670 : 365,867,298 = 365,867,298 : x
  2. Step 2: Convert to fraction form
    229,820,670/365,867,298 = 365,867,298/x
  3. Step 3: Cross multiply
    229,820,670x = 365,867,298 × 365,867,298
  4. Step 4: Simplify right side
    229,820,670x = 133,858,879,745,820,800
  5. Step 5: Solve for x
    x = 133,858,879,745,820,800/229,820,670
  6. Step 6: Final answer
    x = 582,449,262.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.