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Finding the Third Proportional to 106,525,850 and 229,231,098

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Solution

The third proportional to 106,525,850 and 229,231,098 is: 493,278,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525,850 : 229,231,098 = 229,231,098 : x
  2. Step 2: Convert to fraction form
    106,525,850/229,231,098 = 229,231,098/x
  3. Step 3: Cross multiply
    106,525,850x = 229,231,098 × 229,231,098
  4. Step 4: Simplify right side
    106,525,850x = 52,546,896,290,285,600
  5. Step 5: Solve for x
    x = 52,546,896,290,285,600/106,525,850
  6. Step 6: Final answer
    x = 493,278,357.23

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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.