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Finding the Third Proportional to 106,348,668 and 230,847,614

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Solution

The third proportional to 106,348,668 and 230,847,614 is: 501,093,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,348,668 : 230,847,614 = 230,847,614 : x
  2. Step 2: Convert to fraction form
    106,348,668/230,847,614 = 230,847,614/x
  3. Step 3: Cross multiply
    106,348,668x = 230,847,614 × 230,847,614
  4. Step 4: Simplify right side
    106,348,668x = 53,290,620,889,492,992
  5. Step 5: Solve for x
    x = 53,290,620,889,492,992/106,348,668
  6. Step 6: Final answer
    x = 501,093,449.42

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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.