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Finding the Third Proportional to 106,348,665 and 230,847,609

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Solution

The third proportional to 106,348,665 and 230,847,609 is: 501,093,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,348,665 : 230,847,609 = 230,847,609 : x
  2. Step 2: Convert to fraction form
    106,348,665/230,847,609 = 230,847,609/x
  3. Step 3: Cross multiply
    106,348,665x = 230,847,609 × 230,847,609
  4. Step 4: Simplify right side
    106,348,665x = 53,290,618,581,016,880
  5. Step 5: Solve for x
    x = 53,290,618,581,016,880/106,348,665
  6. Step 6: Final answer
    x = 501,093,441.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.