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Finding the Third Proportional to 106,525,719 and 229,230,837

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Solution

The third proportional to 106,525,719 and 229,230,837 is: 493,277,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525,719 : 229,230,837 = 229,230,837 : x
  2. Step 2: Convert to fraction form
    106,525,719/229,230,837 = 229,230,837/x
  3. Step 3: Cross multiply
    106,525,719x = 229,230,837 × 229,230,837
  4. Step 4: Simplify right side
    106,525,719x = 52,546,776,631,720,568
  5. Step 5: Solve for x
    x = 52,546,776,631,720,568/106,525,719
  6. Step 6: Final answer
    x = 493,277,840.55

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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.