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Finding the Third Proportional to 106,709,824 and 229,597,616

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Solution

The third proportional to 106,709,824 and 229,597,616 is: 494,003,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,709,824 : 229,597,616 = 229,597,616 : x
  2. Step 2: Convert to fraction form
    106,709,824/229,597,616 = 229,597,616/x
  3. Step 3: Cross multiply
    106,709,824x = 229,597,616 × 229,597,616
  4. Step 4: Simplify right side
    106,709,824x = 52,715,065,272,883,456
  5. Step 5: Solve for x
    x = 52,715,065,272,883,456/106,709,824
  6. Step 6: Final answer
    x = 494,003,862.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.