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Finding the Third Proportional to 230,281,231 and 329,304,850

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Solution

The third proportional to 230,281,231 and 329,304,850 is: 470,909,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,281,231 : 329,304,850 = 329,304,850 : x
  2. Step 2: Convert to fraction form
    230,281,231/329,304,850 = 329,304,850/x
  3. Step 3: Cross multiply
    230,281,231x = 329,304,850 × 329,304,850
  4. Step 4: Simplify right side
    230,281,231x = 108,441,684,233,522,496
  5. Step 5: Solve for x
    x = 108,441,684,233,522,496/230,281,231
  6. Step 6: Final answer
    x = 470,909,781.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.