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Finding the Third Proportional to 105,986,646 and 159,987,609

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Solution

The third proportional to 105,986,646 and 159,987,609 is: 241,502,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,986,646 : 159,987,609 = 159,987,609 : x
  2. Step 2: Convert to fraction form
    105,986,646/159,987,609 = 159,987,609/x
  3. Step 3: Cross multiply
    105,986,646x = 159,987,609 × 159,987,609
  4. Step 4: Simplify right side
    105,986,646x = 25,596,035,033,536,880
  5. Step 5: Solve for x
    x = 25,596,035,033,536,880/105,986,646
  6. Step 6: Final answer
    x = 241,502,453.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.