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Finding the Third Proportional to 230,281,100 and 329,304,680

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Solution

The third proportional to 230,281,100 and 329,304,680 is: 470,909,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,281,100 : 329,304,680 = 329,304,680 : x
  2. Step 2: Convert to fraction form
    230,281,100/329,304,680 = 329,304,680/x
  3. Step 3: Cross multiply
    230,281,100x = 329,304,680 × 329,304,680
  4. Step 4: Simplify right side
    230,281,100x = 108,441,572,269,902,400
  5. Step 5: Solve for x
    x = 108,441,572,269,902,400/230,281,100
  6. Step 6: Final answer
    x = 470,909,563.44

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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.