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Finding the Third Proportional to 230,281,097 and 329,304,678

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Solution

The third proportional to 230,281,097 and 329,304,678 is: 470,909,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,281,097 : 329,304,678 = 329,304,678 : x
  2. Step 2: Convert to fraction form
    230,281,097/329,304,678 = 329,304,678/x
  3. Step 3: Cross multiply
    230,281,097x = 329,304,678 × 329,304,678
  4. Step 4: Simplify right side
    230,281,097x = 108,441,570,952,683,680
  5. Step 5: Solve for x
    x = 108,441,570,952,683,680/230,281,097
  6. Step 6: Final answer
    x = 470,909,563.86

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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.