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Finding the Third Proportional to 105,986,605 and 159,987,548

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Solution

The third proportional to 105,986,605 and 159,987,548 is: 241,502,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,986,605 : 159,987,548 = 159,987,548 : x
  2. Step 2: Convert to fraction form
    105,986,605/159,987,548 = 159,987,548/x
  3. Step 3: Cross multiply
    105,986,605x = 159,987,548 × 159,987,548
  4. Step 4: Simplify right side
    105,986,605x = 25,596,015,515,052,304
  5. Step 5: Solve for x
    x = 25,596,015,515,052,304/105,986,605
  6. Step 6: Final answer
    x = 241,502,362.63

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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.