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Finding the Third Proportional to 106,699,993.50 and 160,049,982

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Solution

The third proportional to 106,699,993.50 and 160,049,982 is: 240,074,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,699,993.50 : 160,049,982 = 160,049,982 : x
  2. Step 2: Convert to fraction form
    106,699,993.50/160,049,982 = 160,049,982/x
  3. Step 3: Cross multiply
    106,699,993.50x = 160,049,982 × 160,049,982
  4. Step 4: Simplify right side
    106,699,993.50x = 25,615,996,738,200,324
  5. Step 5: Solve for x
    x = 25,615,996,738,200,324/106,699,993.50
  6. Step 6: Final answer
    x = 240,074,960.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.